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Finding the Fourth Proportional to 296,421.24, 409,061.55 and 160,454.77

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Solution

The fourth proportional to 296,421.24, 409,061.55 and 160,454.77 is: 221,427.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,421.24 : 409,061.55 = 160,454.77 : x
  2. Step 2: Convert to fraction form
    296,421.24/409,061.55 = 160,454.77/x
  3. Step 3: Cross multiply
    296,421.24x = 409,061.55 × 160,454.77
  4. Step 4: Simplify right side
    296,421.24x = 65,635,876,921.09
  5. Step 5: Solve for x
    x = 65,635,876,921.09/296,421.24
  6. Step 6: Final answer
    x = 221,427.71

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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.