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Finding the Fourth Proportional to 652,111.90, 978,167.85 and 535,471.90

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Solution

The fourth proportional to 652,111.90, 978,167.85 and 535,471.90 is: 803,207.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,111.90 : 978,167.85 = 535,471.90 : x
  2. Step 2: Convert to fraction form
    652,111.90/978,167.85 = 535,471.90/x
  3. Step 3: Cross multiply
    652,111.90x = 978,167.85 × 535,471.90
  4. Step 4: Simplify right side
    652,111.90x = 523,781,397,158.42
  5. Step 5: Solve for x
    x = 523,781,397,158.42/652,111.90
  6. Step 6: Final answer
    x = 803,207.85

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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.