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Finding the Fourth Proportional to 431,246.60, 646,869.90 and 194,702.60

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Solution

The fourth proportional to 431,246.60, 646,869.90 and 194,702.60 is: 292,053.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,246.60 : 646,869.90 = 194,702.60 : x
  2. Step 2: Convert to fraction form
    431,246.60/646,869.90 = 194,702.60/x
  3. Step 3: Cross multiply
    431,246.60x = 646,869.90 × 194,702.60
  4. Step 4: Simplify right side
    431,246.60x = 125,947,251,391.74
  5. Step 5: Solve for x
    x = 125,947,251,391.74/431,246.60
  6. Step 6: Final answer
    x = 292,053.90

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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.