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Finding the Fourth Proportional to 532,101.20, 798,151.80 and 310,917.20

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Solution

The fourth proportional to 532,101.20, 798,151.80 and 310,917.20 is: 466,375.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,101.20 : 798,151.80 = 310,917.20 : x
  2. Step 2: Convert to fraction form
    532,101.20/798,151.80 = 310,917.20/x
  3. Step 3: Cross multiply
    532,101.20x = 798,151.80 × 310,917.20
  4. Step 4: Simplify right side
    532,101.20x = 248,159,122,830.96
  5. Step 5: Solve for x
    x = 248,159,122,830.96/532,101.20
  6. Step 6: Final answer
    x = 466,375.80

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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.