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Finding the Fourth Proportional to 610,416.30, 915,624.45 and 311,817.90

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Solution

The fourth proportional to 610,416.30, 915,624.45 and 311,817.90 is: 467,726.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,416.30 : 915,624.45 = 311,817.90 : x
  2. Step 2: Convert to fraction form
    610,416.30/915,624.45 = 311,817.90/x
  3. Step 3: Cross multiply
    610,416.30x = 915,624.45 × 311,817.90
  4. Step 4: Simplify right side
    610,416.30x = 285,508,093,187.66
  5. Step 5: Solve for x
    x = 285,508,093,187.66/610,416.30
  6. Step 6: Final answer
    x = 467,726.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.