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Finding the Fourth Proportional to 531,498.66, 733,458.27 and 289,783.32

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Solution

The fourth proportional to 531,498.66, 733,458.27 and 289,783.32 is: 399,895.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,498.66 : 733,458.27 = 289,783.32 : x
  2. Step 2: Convert to fraction form
    531,498.66/733,458.27 = 289,783.32/x
  3. Step 3: Cross multiply
    531,498.66x = 733,458.27 × 289,783.32
  4. Step 4: Simplify right side
    531,498.66x = 212,543,972,562.06
  5. Step 5: Solve for x
    x = 212,543,972,562.06/531,498.66
  6. Step 6: Final answer
    x = 399,895.59

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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.