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Finding the Fourth Proportional to 423,663, 584,652.68 and 230,069.02

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Solution

The fourth proportional to 423,663, 584,652.68 and 230,069.02 is: 317,494.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,663 : 584,652.68 = 230,069.02 : x
  2. Step 2: Convert to fraction form
    423,663/584,652.68 = 230,069.02/x
  3. Step 3: Cross multiply
    423,663x = 584,652.68 × 230,069.02
  4. Step 4: Simplify right side
    423,663x = 134,510,469,127.97
  5. Step 5: Solve for x
    x = 134,510,469,127.97/423,663
  6. Step 6: Final answer
    x = 317,494.02

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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.