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Finding the Fourth Proportional to 296,282.93, 408,869.62 and 160,319.19

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Solution

The fourth proportional to 296,282.93, 408,869.62 and 160,319.19 is: 221,240.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,282.93 : 408,869.62 = 160,319.19 : x
  2. Step 2: Convert to fraction form
    296,282.93/408,869.62 = 160,319.19/x
  3. Step 3: Cross multiply
    296,282.93x = 408,869.62 × 160,319.19
  4. Step 4: Simplify right side
    296,282.93x = 65,549,645,492.41
  5. Step 5: Solve for x
    x = 65,549,645,492.41/296,282.93
  6. Step 6: Final answer
    x = 221,240.04

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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.