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Finding the Fourth Proportional to 391,103.80, 586,364.10 and 166,280.20

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Solution

The fourth proportional to 391,103.80, 586,364.10 and 166,280.20 is: 249,296.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,103.80 : 586,364.10 = 166,280.20 : x
  2. Step 2: Convert to fraction form
    391,103.80/586,364.10 = 166,280.20/x
  3. Step 3: Cross multiply
    391,103.80x = 586,364.10 × 166,280.20
  4. Step 4: Simplify right side
    391,103.80x = 97,500,739,820.82
  5. Step 5: Solve for x
    x = 97,500,739,820.82/391,103.80
  6. Step 6: Final answer
    x = 249,296.32

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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.