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Finding the Fourth Proportional to 256,208.30, 384,312.45 and 237,545.90

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Solution

The fourth proportional to 256,208.30, 384,312.45 and 237,545.90 is: 356,318.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,208.30 : 384,312.45 = 237,545.90 : x
  2. Step 2: Convert to fraction form
    256,208.30/384,312.45 = 237,545.90/x
  3. Step 3: Cross multiply
    256,208.30x = 384,312.45 × 237,545.90
  4. Step 4: Simplify right side
    256,208.30x = 91,291,846,816.46
  5. Step 5: Solve for x
    x = 91,291,846,816.46/256,208.30
  6. Step 6: Final answer
    x = 356,318.85

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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.