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Finding the Fourth Proportional to 411,061.50, 567,192.27 and 229,715.46

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Solution

The fourth proportional to 411,061.50, 567,192.27 and 229,715.46 is: 316,966.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,061.50 : 567,192.27 = 229,715.46 : x
  2. Step 2: Convert to fraction form
    411,061.50/567,192.27 = 229,715.46/x
  3. Step 3: Cross multiply
    411,061.50x = 567,192.27 × 229,715.46
  4. Step 4: Simplify right side
    411,061.50x = 130,292,833,211.49
  5. Step 5: Solve for x
    x = 130,292,833,211.49/411,061.50
  6. Step 6: Final answer
    x = 316,966.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.