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Finding the Fourth Proportional to 401,470.38, 602,954.15 and 353,456.01

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Solution

The fourth proportional to 401,470.38, 602,954.15 and 353,456.01 is: 530,843.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,470.38 : 602,954.15 = 353,456.01 : x
  2. Step 2: Convert to fraction form
    401,470.38/602,954.15 = 353,456.01/x
  3. Step 3: Cross multiply
    401,470.38x = 602,954.15 × 353,456.01
  4. Step 4: Simplify right side
    401,470.38x = 213,117,766,304.66
  5. Step 5: Solve for x
    x = 213,117,766,304.66/401,470.38
  6. Step 6: Final answer
    x = 530,843.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.