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Finding the Fourth Proportional to 296,304.33, 408,897.12 and 160,335.30

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Solution

The fourth proportional to 296,304.33, 408,897.12 and 160,335.30 is: 221,261.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,304.33 : 408,897.12 = 160,335.30 : x
  2. Step 2: Convert to fraction form
    296,304.33/408,897.12 = 160,335.30/x
  3. Step 3: Cross multiply
    296,304.33x = 408,897.12 × 160,335.30
  4. Step 4: Simplify right side
    296,304.33x = 65,560,642,404.34
  5. Step 5: Solve for x
    x = 65,560,642,404.34/296,304.33
  6. Step 6: Final answer
    x = 221,261.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.