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Finding the Fourth Proportional to 625,591.81, 864,034.05 and 411,686.74

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Solution

The fourth proportional to 625,591.81, 864,034.05 and 411,686.74 is: 568,599.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,591.81 : 864,034.05 = 411,686.74 : x
  2. Step 2: Convert to fraction form
    625,591.81/864,034.05 = 411,686.74/x
  3. Step 3: Cross multiply
    625,591.81x = 864,034.05 × 411,686.74
  4. Step 4: Simplify right side
    625,591.81x = 355,711,361,293.50
  5. Step 5: Solve for x
    x = 355,711,361,293.50/625,591.81
  6. Step 6: Final answer
    x = 568,599.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.