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Finding the Fourth Proportional to 296,444.97, 409,091.27 and 160,475.45

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Solution

The fourth proportional to 296,444.97, 409,091.27 and 160,475.45 is: 221,454.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,444.97 : 409,091.27 = 160,475.45 : x
  2. Step 2: Convert to fraction form
    296,444.97/409,091.27 = 160,475.45/x
  3. Step 3: Cross multiply
    296,444.97x = 409,091.27 × 160,475.45
  4. Step 4: Simplify right side
    296,444.97x = 65,649,102,796.49
  5. Step 5: Solve for x
    x = 65,649,102,796.49/296,444.97
  6. Step 6: Final answer
    x = 221,454.60

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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.