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Finding the Fourth Proportional to 532,072.92, 797,416.29 and 216,160.50

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Solution

The fourth proportional to 532,072.92, 797,416.29 and 216,160.50 is: 323,959.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,072.92 : 797,416.29 = 216,160.50 : x
  2. Step 2: Convert to fraction form
    532,072.92/797,416.29 = 216,160.50/x
  3. Step 3: Cross multiply
    532,072.92x = 797,416.29 × 216,160.50
  4. Step 4: Simplify right side
    532,072.92x = 172,369,903,954.55
  5. Step 5: Solve for x
    x = 172,369,903,954.55/532,072.92
  6. Step 6: Final answer
    x = 323,959.17

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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.