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Finding the Fourth Proportional to 296,301.59, 408,897.27 and 160,335.53

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Solution

The fourth proportional to 296,301.59, 408,897.27 and 160,335.53 is: 221,263.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,301.59 : 408,897.27 = 160,335.53 : x
  2. Step 2: Convert to fraction form
    296,301.59/408,897.27 = 160,335.53/x
  3. Step 3: Cross multiply
    296,301.59x = 408,897.27 × 160,335.53
  4. Step 4: Simplify right side
    296,301.59x = 65,560,762,740.87
  5. Step 5: Solve for x
    x = 65,560,762,740.87/296,301.59
  6. Step 6: Final answer
    x = 221,263.62

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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.