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Finding the Fourth Proportional to 532,172, 798,363.16 and 195,215.78

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Solution

The fourth proportional to 532,172, 798,363.16 and 195,215.78 is: 292,862.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,172 : 798,363.16 = 195,215.78 : x
  2. Step 2: Convert to fraction form
    532,172/798,363.16 = 195,215.78/x
  3. Step 3: Cross multiply
    532,172x = 798,363.16 × 195,215.78
  4. Step 4: Simplify right side
    532,172x = 155,853,087,002.67
  5. Step 5: Solve for x
    x = 155,853,087,002.67/532,172
  6. Step 6: Final answer
    x = 292,862.25

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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.