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Finding the Fourth Proportional to 385,545.40, 578,318.10 and 319,190.20

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Solution

The fourth proportional to 385,545.40, 578,318.10 and 319,190.20 is: 478,785.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,545.40 : 578,318.10 = 319,190.20 : x
  2. Step 2: Convert to fraction form
    385,545.40/578,318.10 = 319,190.20/x
  3. Step 3: Cross multiply
    385,545.40x = 578,318.10 × 319,190.20
  4. Step 4: Simplify right side
    385,545.40x = 184,593,470,002.62
  5. Step 5: Solve for x
    x = 184,593,470,002.62/385,545.40
  6. Step 6: Final answer
    x = 478,785.30

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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.