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Finding the Fourth Proportional to 652,617, 978,925.50 and 231,909.48

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Solution

The fourth proportional to 652,617, 978,925.50 and 231,909.48 is: 347,864.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,617 : 978,925.50 = 231,909.48 : x
  2. Step 2: Convert to fraction form
    652,617/978,925.50 = 231,909.48/x
  3. Step 3: Cross multiply
    652,617x = 978,925.50 × 231,909.48
  4. Step 4: Simplify right side
    652,617x = 227,022,103,663.74
  5. Step 5: Solve for x
    x = 227,022,103,663.74/652,617
  6. Step 6: Final answer
    x = 347,864.22

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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.