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Finding the Fourth Proportional to 509,657.94, 703,335.96 and 280,225.17

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Solution

The fourth proportional to 509,657.94, 703,335.96 and 280,225.17 is: 386,715.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,657.94 : 703,335.96 = 280,225.17 : x
  2. Step 2: Convert to fraction form
    509,657.94/703,335.96 = 280,225.17/x
  3. Step 3: Cross multiply
    509,657.94x = 703,335.96 × 280,225.17
  4. Step 4: Simplify right side
    509,657.94x = 197,092,438,958.11
  5. Step 5: Solve for x
    x = 197,092,438,958.11/509,657.94
  6. Step 6: Final answer
    x = 386,715.13

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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.