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Finding the Fourth Proportional to 296,241.89, 408,813.59 and 160,275.90

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Solution

The fourth proportional to 296,241.89, 408,813.59 and 160,275.90 is: 221,180.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,241.89 : 408,813.59 = 160,275.90 : x
  2. Step 2: Convert to fraction form
    296,241.89/408,813.59 = 160,275.90/x
  3. Step 3: Cross multiply
    296,241.89x = 408,813.59 × 160,275.90
  4. Step 4: Simplify right side
    296,241.89x = 65,522,966,069.48
  5. Step 5: Solve for x
    x = 65,522,966,069.48/296,241.89
  6. Step 6: Final answer
    x = 221,180.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.