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Finding the Fourth Proportional to 296,135.77, 408,667.32 and 160,169.68

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Solution

The fourth proportional to 296,135.77, 408,667.32 and 160,169.68 is: 221,034.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,135.77 : 408,667.32 = 160,169.68 : x
  2. Step 2: Convert to fraction form
    296,135.77/408,667.32 = 160,169.68/x
  3. Step 3: Cross multiply
    296,135.77x = 408,667.32 × 160,169.68
  4. Step 4: Simplify right side
    296,135.77x = 65,456,113,870.86
  5. Step 5: Solve for x
    x = 65,456,113,870.86/296,135.77
  6. Step 6: Final answer
    x = 221,034.14

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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.