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Finding the Fourth Proportional to 425,298.97, 586,914 and 234,311.89

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Solution

The fourth proportional to 425,298.97, 586,914 and 234,311.89 is: 323,351.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,298.97 : 586,914 = 234,311.89 : x
  2. Step 2: Convert to fraction form
    425,298.97/586,914 = 234,311.89/x
  3. Step 3: Cross multiply
    425,298.97x = 586,914 × 234,311.89
  4. Step 4: Simplify right side
    425,298.97x = 137,520,928,607.46
  5. Step 5: Solve for x
    x = 137,520,928,607.46/425,298.97
  6. Step 6: Final answer
    x = 323,351.19

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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.