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Finding the Fourth Proportional to 764,701.75, 1,146,978.10 and 232,227.39

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Solution

The fourth proportional to 764,701.75, 1,146,978.10 and 232,227.39 is: 348,318.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,701.75 : 1,146,978.10 = 232,227.39 : x
  2. Step 2: Convert to fraction form
    764,701.75/1,146,978.10 = 232,227.39/x
  3. Step 3: Cross multiply
    764,701.75x = 1,146,978.10 × 232,227.39
  4. Step 4: Simplify right side
    764,701.75x = 266,359,730,550.16
  5. Step 5: Solve for x
    x = 266,359,730,550.16/764,701.75
  6. Step 6: Final answer
    x = 348,318.45

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Why These Related Problems?

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