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Finding the Fourth Proportional to 296,451.60, 409,103.34 and 160,485.55

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Solution

The fourth proportional to 296,451.60, 409,103.34 and 160,485.55 is: 221,470.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,451.60 : 409,103.34 = 160,485.55 : x
  2. Step 2: Convert to fraction form
    296,451.60/409,103.34 = 160,485.55/x
  3. Step 3: Cross multiply
    296,451.60x = 409,103.34 × 160,485.55
  4. Step 4: Simplify right side
    296,451.60x = 65,655,174,526.74
  5. Step 5: Solve for x
    x = 65,655,174,526.74/296,451.60
  6. Step 6: Final answer
    x = 221,470.13

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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.