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Finding the Fourth Proportional to 425,374.28, 586,992.50 and 234,407.24

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Solution

The fourth proportional to 425,374.28, 586,992.50 and 234,407.24 is: 323,468.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,374.28 : 586,992.50 = 234,407.24 : x
  2. Step 2: Convert to fraction form
    425,374.28/586,992.50 = 234,407.24/x
  3. Step 3: Cross multiply
    425,374.28x = 586,992.50 × 234,407.24
  4. Step 4: Simplify right side
    425,374.28x = 137,595,291,825.70
  5. Step 5: Solve for x
    x = 137,595,291,825.70/425,374.28
  6. Step 6: Final answer
    x = 323,468.76

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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.