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Finding the Fourth Proportional to 431,354.40, 646,545.60 and 206,822.40

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Solution

The fourth proportional to 431,354.40, 646,545.60 and 206,822.40 is: 310,000.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,354.40 : 646,545.60 = 206,822.40 : x
  2. Step 2: Convert to fraction form
    431,354.40/646,545.60 = 206,822.40/x
  3. Step 3: Cross multiply
    431,354.40x = 646,545.60 × 206,822.40
  4. Step 4: Simplify right side
    431,354.40x = 133,720,112,701.44
  5. Step 5: Solve for x
    x = 133,720,112,701.44/431,354.40
  6. Step 6: Final answer
    x = 310,000.58

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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.