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Finding the Fourth Proportional to 420,862.38, 580,039.02 and 318,642.93

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Solution

The fourth proportional to 420,862.38, 580,039.02 and 318,642.93 is: 439,158.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,862.38 : 580,039.02 = 318,642.93 : x
  2. Step 2: Convert to fraction form
    420,862.38/580,039.02 = 318,642.93/x
  3. Step 3: Cross multiply
    420,862.38x = 580,039.02 × 318,642.93
  4. Step 4: Simplify right side
    420,862.38x = 184,825,332,847.13
  5. Step 5: Solve for x
    x = 184,825,332,847.13/420,862.38
  6. Step 6: Final answer
    x = 439,158.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.