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Finding the Fourth Proportional to 463,112.91, 694,661.81 and 147,565.53

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Solution

The fourth proportional to 463,112.91, 694,661.81 and 147,565.53 is: 221,345.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,112.91 : 694,661.81 = 147,565.53 : x
  2. Step 2: Convert to fraction form
    463,112.91/694,661.81 = 147,565.53/x
  3. Step 3: Cross multiply
    463,112.91x = 694,661.81 × 147,565.53
  4. Step 4: Simplify right side
    463,112.91x = 102,508,137,425.58
  5. Step 5: Solve for x
    x = 102,508,137,425.58/463,112.91
  6. Step 6: Final answer
    x = 221,345.89

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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.