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Finding the Fourth Proportional to 296,319.58, 408,921.01 and 160,353.53

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Solution

The fourth proportional to 296,319.58, 408,921.01 and 160,353.53 is: 221,287.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,319.58 : 408,921.01 = 160,353.53 : x
  2. Step 2: Convert to fraction form
    296,319.58/408,921.01 = 160,353.53/x
  3. Step 3: Cross multiply
    296,319.58x = 408,921.01 × 160,353.53
  4. Step 4: Simplify right side
    296,319.58x = 65,571,926,667.89
  5. Step 5: Solve for x
    x = 65,571,926,667.89/296,319.58
  6. Step 6: Final answer
    x = 221,287.86

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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.