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Finding the Fourth Proportional to 531,564.24, 797,210.52 and 157,499.76

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Solution

The fourth proportional to 531,564.24, 797,210.52 and 157,499.76 is: 236,209.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,564.24 : 797,210.52 = 157,499.76 : x
  2. Step 2: Convert to fraction form
    531,564.24/797,210.52 = 157,499.76/x
  3. Step 3: Cross multiply
    531,564.24x = 797,210.52 × 157,499.76
  4. Step 4: Simplify right side
    531,564.24x = 125,560,465,569.48
  5. Step 5: Solve for x
    x = 125,560,465,569.48/531,564.24
  6. Step 6: Final answer
    x = 236,209.39

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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.