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Finding the Fourth Proportional to 642,734.90, 965,139.15 and 433,301.30

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Solution

The fourth proportional to 642,734.90, 965,139.15 and 433,301.30 is: 650,650.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,734.90 : 965,139.15 = 433,301.30 : x
  2. Step 2: Convert to fraction form
    642,734.90/965,139.15 = 433,301.30/x
  3. Step 3: Cross multiply
    642,734.90x = 965,139.15 × 433,301.30
  4. Step 4: Simplify right side
    642,734.90x = 418,196,048,375.90
  5. Step 5: Solve for x
    x = 418,196,048,375.90/642,734.90
  6. Step 6: Final answer
    x = 650,650.91

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Double scale
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1.5x scale

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.