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Finding the Fourth Proportional to 296,333.16, 408,939.72 and 160,367.10

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Solution

The fourth proportional to 296,333.16, 408,939.72 and 160,367.10 is: 221,306.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,333.16 : 408,939.72 = 160,367.10 : x
  2. Step 2: Convert to fraction form
    296,333.16/408,939.72 = 160,367.10/x
  3. Step 3: Cross multiply
    296,333.16x = 408,939.72 × 160,367.10
  4. Step 4: Simplify right side
    296,333.16x = 65,580,477,572.59
  5. Step 5: Solve for x
    x = 65,580,477,572.59/296,333.16
  6. Step 6: Final answer
    x = 221,306.58

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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.