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Finding the Fourth Proportional to 296,490.66, 409,160.31 and 160,527.42

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Solution

The fourth proportional to 296,490.66, 409,160.31 and 160,527.42 is: 221,529.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,490.66 : 409,160.31 = 160,527.42 : x
  2. Step 2: Convert to fraction form
    296,490.66/409,160.31 = 160,527.42/x
  3. Step 3: Cross multiply
    296,490.66x = 409,160.31 × 160,527.42
  4. Step 4: Simplify right side
    296,490.66x = 65,681,448,930.70
  5. Step 5: Solve for x
    x = 65,681,448,930.70/296,490.66
  6. Step 6: Final answer
    x = 221,529.57

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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.