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Finding the Fourth Proportional to 296,239.89, 408,810.83 and 160,273.90

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Solution

The fourth proportional to 296,239.89, 408,810.83 and 160,273.90 is: 221,177.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,239.89 : 408,810.83 = 160,273.90 : x
  2. Step 2: Convert to fraction form
    296,239.89/408,810.83 = 160,273.90/x
  3. Step 3: Cross multiply
    296,239.89x = 408,810.83 × 160,273.90
  4. Step 4: Simplify right side
    296,239.89x = 65,521,706,086.34
  5. Step 5: Solve for x
    x = 65,521,706,086.34/296,239.89
  6. Step 6: Final answer
    x = 221,177.86

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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.