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Finding the Fourth Proportional to 531,772.16, 797,793.60 and 176,788.16

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Solution

The fourth proportional to 531,772.16, 797,793.60 and 176,788.16 is: 265,227.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,772.16 : 797,793.60 = 176,788.16 : x
  2. Step 2: Convert to fraction form
    531,772.16/797,793.60 = 176,788.16/x
  3. Step 3: Cross multiply
    531,772.16x = 797,793.60 × 176,788.16
  4. Step 4: Simplify right side
    531,772.16x = 141,040,462,603.78
  5. Step 5: Solve for x
    x = 141,040,462,603.78/531,772.16
  6. Step 6: Final answer
    x = 265,227.24

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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.