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Finding the Fourth Proportional to 423,659.25, 584,647.50 and 230,065.29

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Solution

The fourth proportional to 423,659.25, 584,647.50 and 230,065.29 is: 317,488.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,659.25 : 584,647.50 = 230,065.29 : x
  2. Step 2: Convert to fraction form
    423,659.25/584,647.50 = 230,065.29/x
  3. Step 3: Cross multiply
    423,659.25x = 584,647.50 × 230,065.29
  4. Step 4: Simplify right side
    423,659.25x = 134,507,096,635.28
  5. Step 5: Solve for x
    x = 134,507,096,635.28/423,659.25
  6. Step 6: Final answer
    x = 317,488.87

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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.