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Finding the Fourth Proportional to 423,304.90, 584,159.10 and 229,713.40

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Solution

The fourth proportional to 423,304.90, 584,159.10 and 229,713.40 is: 317,003.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,304.90 : 584,159.10 = 229,713.40 : x
  2. Step 2: Convert to fraction form
    423,304.90/584,159.10 = 229,713.40/x
  3. Step 3: Cross multiply
    423,304.90x = 584,159.10 × 229,713.40
  4. Step 4: Simplify right side
    423,304.90x = 134,189,173,001.94
  5. Step 5: Solve for x
    x = 134,189,173,001.94/423,304.90
  6. Step 6: Final answer
    x = 317,003.59

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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.