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Finding the Fourth Proportional to 296,465.91, 409,122.45 and 160,499.81

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Solution

The fourth proportional to 296,465.91, 409,122.45 and 160,499.81 is: 221,489.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,465.91 : 409,122.45 = 160,499.81 : x
  2. Step 2: Convert to fraction form
    296,465.91/409,122.45 = 160,499.81/x
  3. Step 3: Cross multiply
    296,465.91x = 409,122.45 × 160,499.81
  4. Step 4: Simplify right side
    296,465.91x = 65,664,073,446.12
  5. Step 5: Solve for x
    x = 65,664,073,446.12/296,465.91
  6. Step 6: Final answer
    x = 221,489.46

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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.