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Finding the Fourth Proportional to 531,810.56, 797,542.40 and 176,729.20

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Solution

The fourth proportional to 531,810.56, 797,542.40 and 176,729.20 is: 265,036.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,810.56 : 797,542.40 = 176,729.20 : x
  2. Step 2: Convert to fraction form
    531,810.56/797,542.40 = 176,729.20/x
  3. Step 3: Cross multiply
    531,810.56x = 797,542.40 × 176,729.20
  4. Step 4: Simplify right side
    531,810.56x = 140,949,030,318.08
  5. Step 5: Solve for x
    x = 140,949,030,318.08/531,810.56
  6. Step 6: Final answer
    x = 265,036.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.