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Finding the Fourth Proportional to 425,212.56, 586,794.92 and 234,225.49

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Solution

The fourth proportional to 425,212.56, 586,794.92 and 234,225.49 is: 323,232.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,212.56 : 586,794.92 = 234,225.49 : x
  2. Step 2: Convert to fraction form
    425,212.56/586,794.92 = 234,225.49/x
  3. Step 3: Cross multiply
    425,212.56x = 586,794.92 × 234,225.49
  4. Step 4: Simplify right side
    425,212.56x = 137,442,326,495.38
  5. Step 5: Solve for x
    x = 137,442,326,495.38/425,212.56
  6. Step 6: Final answer
    x = 323,232.05

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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.