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Finding the Fourth Proportional to 531,235.86, 733,084.08 and 289,513.23

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Solution

The fourth proportional to 531,235.86, 733,084.08 and 289,513.23 is: 399,516.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,235.86 : 733,084.08 = 289,513.23 : x
  2. Step 2: Convert to fraction form
    531,235.86/733,084.08 = 289,513.23/x
  3. Step 3: Cross multiply
    531,235.86x = 733,084.08 × 289,513.23
  4. Step 4: Simplify right side
    531,235.86x = 212,237,539,862.38
  5. Step 5: Solve for x
    x = 212,237,539,862.38/531,235.86
  6. Step 6: Final answer
    x = 399,516.59

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Double scale
Find fourth proportional to 531,236.86, 733,085.46 and 289,514.23
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.