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Finding the Fourth Proportional to 423,431.42, 584,332.86 and 229,842.98

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Solution

The fourth proportional to 423,431.42, 584,332.86 and 229,842.98 is: 317,181.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,431.42 : 584,332.86 = 229,842.98 : x
  2. Step 2: Convert to fraction form
    423,431.42/584,332.86 = 229,842.98/x
  3. Step 3: Cross multiply
    423,431.42x = 584,332.86 × 229,842.98
  4. Step 4: Simplify right side
    423,431.42x = 134,304,805,854.32
  5. Step 5: Solve for x
    x = 134,304,805,854.32/423,431.42
  6. Step 6: Final answer
    x = 317,181.96

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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.