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Finding the Fourth Proportional to 642,731.40, 965,133.90 and 433,297.80

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Solution

The fourth proportional to 642,731.40, 965,133.90 and 433,297.80 is: 650,645.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,731.40 : 965,133.90 = 433,297.80 : x
  2. Step 2: Convert to fraction form
    642,731.40/965,133.90 = 433,297.80/x
  3. Step 3: Cross multiply
    642,731.40x = 965,133.90 × 433,297.80
  4. Step 4: Simplify right side
    642,731.40x = 418,190,395,575.42
  5. Step 5: Solve for x
    x = 418,190,395,575.42/642,731.40
  6. Step 6: Final answer
    x = 650,645.66

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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.