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Finding the Fourth Proportional to 647,534.70, 971,302.05 and 398,357.10

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Solution

The fourth proportional to 647,534.70, 971,302.05 and 398,357.10 is: 597,535.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,534.70 : 971,302.05 = 398,357.10 : x
  2. Step 2: Convert to fraction form
    647,534.70/971,302.05 = 398,357.10/x
  3. Step 3: Cross multiply
    647,534.70x = 971,302.05 × 398,357.10
  4. Step 4: Simplify right side
    647,534.70x = 386,925,067,862.06
  5. Step 5: Solve for x
    x = 386,925,067,862.06/647,534.70
  6. Step 6: Final answer
    x = 597,535.65

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Double scale
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Similar ratio
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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.