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Finding the Fourth Proportional to 296,502.30, 409,168.26 and 160,535.16

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Solution

The fourth proportional to 296,502.30, 409,168.26 and 160,535.16 is: 221,535.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,502.30 : 409,168.26 = 160,535.16 : x
  2. Step 2: Convert to fraction form
    296,502.30/409,168.26 = 160,535.16/x
  3. Step 3: Cross multiply
    296,502.30x = 409,168.26 × 160,535.16
  4. Step 4: Simplify right side
    296,502.30x = 65,685,892,086.02
  5. Step 5: Solve for x
    x = 65,685,892,086.02/296,502.30
  6. Step 6: Final answer
    x = 221,535.86

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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.