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Finding the Fourth Proportional to 425,336.10, 586,963.89 and 234,347.82

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Solution

The fourth proportional to 425,336.10, 586,963.89 and 234,347.82 is: 323,400.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,336.10 : 586,963.89 = 234,347.82 : x
  2. Step 2: Convert to fraction form
    425,336.10/586,963.89 = 234,347.82/x
  3. Step 3: Cross multiply
    425,336.10x = 586,963.89 × 234,347.82
  4. Step 4: Simplify right side
    425,336.10x = 137,553,708,040.22
  5. Step 5: Solve for x
    x = 137,553,708,040.22/425,336.10
  6. Step 6: Final answer
    x = 323,400.03

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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.