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Finding the Fourth Proportional to 296,283.06, 408,869.30 and 160,319.40

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Solution

The fourth proportional to 296,283.06, 408,869.30 and 160,319.40 is: 221,240.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,283.06 : 408,869.30 = 160,319.40 : x
  2. Step 2: Convert to fraction form
    296,283.06/408,869.30 = 160,319.40/x
  3. Step 3: Cross multiply
    296,283.06x = 408,869.30 × 160,319.40
  4. Step 4: Simplify right side
    296,283.06x = 65,549,680,854.42
  5. Step 5: Solve for x
    x = 65,549,680,854.42/296,283.06
  6. Step 6: Final answer
    x = 221,240.06

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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.