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Finding the Fourth Proportional to 431,730.80, 647,596.20 and 413,068.40

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Solution

The fourth proportional to 431,730.80, 647,596.20 and 413,068.40 is: 619,602.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,730.80 : 647,596.20 = 413,068.40 : x
  2. Step 2: Convert to fraction form
    431,730.80/647,596.20 = 413,068.40/x
  3. Step 3: Cross multiply
    431,730.80x = 647,596.20 × 413,068.40
  4. Step 4: Simplify right side
    431,730.80x = 267,501,526,180.08
  5. Step 5: Solve for x
    x = 267,501,526,180.08/431,730.80
  6. Step 6: Final answer
    x = 619,602.60

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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.