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Finding the Fourth Proportional to 425,646.40, 638,145.60 and 215,435.20

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Solution

The fourth proportional to 425,646.40, 638,145.60 and 215,435.20 is: 322,988.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,646.40 : 638,145.60 = 215,435.20 : x
  2. Step 2: Convert to fraction form
    425,646.40/638,145.60 = 215,435.20/x
  3. Step 3: Cross multiply
    425,646.40x = 638,145.60 × 215,435.20
  4. Step 4: Simplify right side
    425,646.40x = 137,479,024,965.12
  5. Step 5: Solve for x
    x = 137,479,024,965.12/425,646.40
  6. Step 6: Final answer
    x = 322,988.81

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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.