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Finding the Fourth Proportional to 532,102.92, 797,461.29 and 216,190.50

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Solution

The fourth proportional to 532,102.92, 797,461.29 and 216,190.50 is: 324,004.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,102.92 : 797,461.29 = 216,190.50 : x
  2. Step 2: Convert to fraction form
    532,102.92/797,461.29 = 216,190.50/x
  3. Step 3: Cross multiply
    532,102.92x = 797,461.29 × 216,190.50
  4. Step 4: Simplify right side
    532,102.92x = 172,403,555,015.75
  5. Step 5: Solve for x
    x = 172,403,555,015.75/532,102.92
  6. Step 6: Final answer
    x = 324,004.15

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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.