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Finding the Fourth Proportional to 425,142.99, 586,723.86 and 234,156.33

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Solution

The fourth proportional to 425,142.99, 586,723.86 and 234,156.33 is: 323,150.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,142.99 : 586,723.86 = 234,156.33 : x
  2. Step 2: Convert to fraction form
    425,142.99/586,723.86 = 234,156.33/x
  3. Step 3: Cross multiply
    425,142.99x = 586,723.86 × 234,156.33
  4. Step 4: Simplify right side
    425,142.99x = 137,385,105,781.03
  5. Step 5: Solve for x
    x = 137,385,105,781.03/425,142.99
  6. Step 6: Final answer
    x = 323,150.35

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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.