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Finding the Fourth Proportional to 420,486.02, 580,337.15 and 267,364.59

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Solution

The fourth proportional to 420,486.02, 580,337.15 and 267,364.59 is: 369,005.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,486.02 : 580,337.15 = 267,364.59 : x
  2. Step 2: Convert to fraction form
    420,486.02/580,337.15 = 267,364.59/x
  3. Step 3: Cross multiply
    420,486.02x = 580,337.15 × 267,364.59
  4. Step 4: Simplify right side
    420,486.02x = 155,161,604,171.52
  5. Step 5: Solve for x
    x = 155,161,604,171.52/420,486.02
  6. Step 6: Final answer
    x = 369,005.38

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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.