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Finding the Fourth Proportional to 296,357.20, 408,973.88 and 160,391.12

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Solution

The fourth proportional to 296,357.20, 408,973.88 and 160,391.12 is: 221,340.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,357.20 : 408,973.88 = 160,391.12 : x
  2. Step 2: Convert to fraction form
    296,357.20/408,973.88 = 160,391.12/x
  3. Step 3: Cross multiply
    296,357.20x = 408,973.88 × 160,391.12
  4. Step 4: Simplify right side
    296,357.20x = 65,595,778,663.95
  5. Step 5: Solve for x
    x = 65,595,778,663.95/296,357.20
  6. Step 6: Final answer
    x = 221,340.26

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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.