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Finding the Fourth Proportional to 296,552.69, 409,242.90 and 160,587.71

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Solution

The fourth proportional to 296,552.69, 409,242.90 and 160,587.71 is: 221,611.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,552.69 : 409,242.90 = 160,587.71 : x
  2. Step 2: Convert to fraction form
    296,552.69/409,242.90 = 160,587.71/x
  3. Step 3: Cross multiply
    296,552.69x = 409,242.90 × 160,587.71
  4. Step 4: Simplify right side
    296,552.69x = 65,719,380,144.76
  5. Step 5: Solve for x
    x = 65,719,380,144.76/296,552.69
  6. Step 6: Final answer
    x = 221,611.14

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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.