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Finding the Fourth Proportional to 642,735.40, 965,139.90 and 433,301.80

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Solution

The fourth proportional to 642,735.40, 965,139.90 and 433,301.80 is: 650,651.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,735.40 : 965,139.90 = 433,301.80 : x
  2. Step 2: Convert to fraction form
    642,735.40/965,139.90 = 433,301.80/x
  3. Step 3: Cross multiply
    642,735.40x = 965,139.90 × 433,301.80
  4. Step 4: Simplify right side
    642,735.40x = 418,196,855,921.82
  5. Step 5: Solve for x
    x = 418,196,855,921.82/642,735.40
  6. Step 6: Final answer
    x = 650,651.66

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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.