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Finding the Fourth Proportional to 296,301.92, 408,893.80 and 160,332.89

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Solution

The fourth proportional to 296,301.92, 408,893.80 and 160,332.89 is: 221,257.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,301.92 : 408,893.80 = 160,332.89 : x
  2. Step 2: Convert to fraction form
    296,301.92/408,893.80 = 160,332.89/x
  3. Step 3: Cross multiply
    296,301.92x = 408,893.80 × 160,332.89
  4. Step 4: Simplify right side
    296,301.92x = 65,559,124,657.08
  5. Step 5: Solve for x
    x = 65,559,124,657.08/296,301.92
  6. Step 6: Final answer
    x = 221,257.85

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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.