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Finding the Fourth Proportional to 425,124.49, 586,698.33 and 234,137.83

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Solution

The fourth proportional to 425,124.49, 586,698.33 and 234,137.83 is: 323,124.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,124.49 : 586,698.33 = 234,137.83 : x
  2. Step 2: Convert to fraction form
    425,124.49/586,698.33 = 234,137.83/x
  3. Step 3: Cross multiply
    425,124.49x = 586,698.33 × 234,137.83
  4. Step 4: Simplify right side
    425,124.49x = 137,368,273,850.82
  5. Step 5: Solve for x
    x = 137,368,273,850.82/425,124.49
  6. Step 6: Final answer
    x = 323,124.82

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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.