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Finding the Fourth Proportional to 311,501.70, 467,252.55 and 232,769.70

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Solution

The fourth proportional to 311,501.70, 467,252.55 and 232,769.70 is: 349,154.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,501.70 : 467,252.55 = 232,769.70 : x
  2. Step 2: Convert to fraction form
    311,501.70/467,252.55 = 232,769.70/x
  3. Step 3: Cross multiply
    311,501.70x = 467,252.55 × 232,769.70
  4. Step 4: Simplify right side
    311,501.70x = 108,762,235,887.74
  5. Step 5: Solve for x
    x = 108,762,235,887.74/311,501.70
  6. Step 6: Final answer
    x = 349,154.55

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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.