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Finding the Fourth Proportional to 642,741.40, 965,148.90 and 433,307.80

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Solution

The fourth proportional to 642,741.40, 965,148.90 and 433,307.80 is: 650,660.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,741.40 : 965,148.90 = 433,307.80 : x
  2. Step 2: Convert to fraction form
    642,741.40/965,148.90 = 433,307.80/x
  3. Step 3: Cross multiply
    642,741.40x = 965,148.90 × 433,307.80
  4. Step 4: Simplify right side
    642,741.40x = 418,206,546,531.42
  5. Step 5: Solve for x
    x = 418,206,546,531.42/642,741.40
  6. Step 6: Final answer
    x = 650,660.66

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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.