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Finding the Fourth Proportional to 657,472.20, 986,597.10 and 433,480.20

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Solution

The fourth proportional to 657,472.20, 986,597.10 and 433,480.20 is: 650,476.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,472.20 : 986,597.10 = 433,480.20 : x
  2. Step 2: Convert to fraction form
    657,472.20/986,597.10 = 433,480.20/x
  3. Step 3: Cross multiply
    657,472.20x = 986,597.10 × 433,480.20
  4. Step 4: Simplify right side
    657,472.20x = 427,670,308,227.42
  5. Step 5: Solve for x
    x = 427,670,308,227.42/657,472.20
  6. Step 6: Final answer
    x = 650,476.64

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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.