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Finding the Fourth Proportional to 657,521.70, 986,209.65 and 538,986.30

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Solution

The fourth proportional to 657,521.70, 986,209.65 and 538,986.30 is: 808,419.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,521.70 : 986,209.65 = 538,986.30 : x
  2. Step 2: Convert to fraction form
    657,521.70/986,209.65 = 538,986.30/x
  3. Step 3: Cross multiply
    657,521.70x = 986,209.65 × 538,986.30
  4. Step 4: Simplify right side
    657,521.70x = 531,553,490,277.80
  5. Step 5: Solve for x
    x = 531,553,490,277.80/657,521.70
  6. Step 6: Final answer
    x = 808,419.69

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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.