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Finding the Fourth Proportional to 425,211.81, 586,793.88 and 234,224.74

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Solution

The fourth proportional to 425,211.81, 586,793.88 and 234,224.74 is: 323,231.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,211.81 : 586,793.88 = 234,224.74 : x
  2. Step 2: Convert to fraction form
    425,211.81/586,793.88 = 234,224.74/x
  3. Step 3: Cross multiply
    425,211.81x = 586,793.88 × 234,224.74
  4. Step 4: Simplify right side
    425,211.81x = 137,441,643,976.59
  5. Step 5: Solve for x
    x = 137,441,643,976.59/425,211.81
  6. Step 6: Final answer
    x = 323,231.01

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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.