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Finding the Fourth Proportional to 431,657.40, 647,486.10 and 342,427.80

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Solution

The fourth proportional to 431,657.40, 647,486.10 and 342,427.80 is: 513,641.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,657.40 : 647,486.10 = 342,427.80 : x
  2. Step 2: Convert to fraction form
    431,657.40/647,486.10 = 342,427.80/x
  3. Step 3: Cross multiply
    431,657.40x = 647,486.10 × 342,427.80
  4. Step 4: Simplify right side
    431,657.40x = 221,717,240,753.58
  5. Step 5: Solve for x
    x = 221,717,240,753.58/431,657.40
  6. Step 6: Final answer
    x = 513,641.70

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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.