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Finding the Fourth Proportional to 531,537.93, 733,506.30 and 289,825.16

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Solution

The fourth proportional to 531,537.93, 733,506.30 and 289,825.16 is: 399,949.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,537.93 : 733,506.30 = 289,825.16 : x
  2. Step 2: Convert to fraction form
    531,537.93/733,506.30 = 289,825.16/x
  3. Step 3: Cross multiply
    531,537.93x = 733,506.30 × 289,825.16
  4. Step 4: Simplify right side
    531,537.93x = 212,588,577,090.98
  5. Step 5: Solve for x
    x = 212,588,577,090.98/531,537.93
  6. Step 6: Final answer
    x = 399,949.97

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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.