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Finding the Fourth Proportional to 521,673.32, 782,540.70 and 147,665

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Solution

The fourth proportional to 521,673.32, 782,540.70 and 147,665 is: 221,506.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,673.32 : 782,540.70 = 147,665 : x
  2. Step 2: Convert to fraction form
    521,673.32/782,540.70 = 147,665/x
  3. Step 3: Cross multiply
    521,673.32x = 782,540.70 × 147,665
  4. Step 4: Simplify right side
    521,673.32x = 115,553,872,465.50
  5. Step 5: Solve for x
    x = 115,553,872,465.50/521,673.32
  6. Step 6: Final answer
    x = 221,506.20

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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.