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Finding the Fourth Proportional to 296,030.13, 408,531.29 and 161,894.13

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Solution

The fourth proportional to 296,030.13, 408,531.29 and 161,894.13 is: 223,419.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,030.13 : 408,531.29 = 161,894.13 : x
  2. Step 2: Convert to fraction form
    296,030.13/408,531.29 = 161,894.13/x
  3. Step 3: Cross multiply
    296,030.13x = 408,531.29 × 161,894.13
  4. Step 4: Simplify right side
    296,030.13x = 66,138,817,772.33
  5. Step 5: Solve for x
    x = 66,138,817,772.33/296,030.13
  6. Step 6: Final answer
    x = 223,419.21

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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.