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Finding the Fourth Proportional to 296,385.93, 409,011.42 and 160,422.18

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Solution

The fourth proportional to 296,385.93, 409,011.42 and 160,422.18 is: 221,381.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,385.93 : 409,011.42 = 160,422.18 : x
  2. Step 2: Convert to fraction form
    296,385.93/409,011.42 = 160,422.18/x
  3. Step 3: Cross multiply
    296,385.93x = 409,011.42 × 160,422.18
  4. Step 4: Simplify right side
    296,385.93x = 65,614,503,641.30
  5. Step 5: Solve for x
    x = 65,614,503,641.30/296,385.93
  6. Step 6: Final answer
    x = 221,381.98

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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.