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Finding the Fourth Proportional to 296,206.40, 408,763.93 and 160,240.31

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Solution

The fourth proportional to 296,206.40, 408,763.93 and 160,240.31 is: 221,131.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,206.40 : 408,763.93 = 160,240.31 : x
  2. Step 2: Convert to fraction form
    296,206.40/408,763.93 = 160,240.31/x
  3. Step 3: Cross multiply
    296,206.40x = 408,763.93 × 160,240.31
  4. Step 4: Simplify right side
    296,206.40x = 65,500,458,860.02
  5. Step 5: Solve for x
    x = 65,500,458,860.02/296,206.40
  6. Step 6: Final answer
    x = 221,131.14

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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.