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Finding the Fourth Proportional to 296,594.70, 409,298.46 and 160,625.48

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Solution

The fourth proportional to 296,594.70, 409,298.46 and 160,625.48 is: 221,661.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,594.70 : 409,298.46 = 160,625.48 : x
  2. Step 2: Convert to fraction form
    296,594.70/409,298.46 = 160,625.48/x
  3. Step 3: Cross multiply
    296,594.70x = 409,298.46 × 160,625.48
  4. Step 4: Simplify right side
    296,594.70x = 65,743,761,600.76
  5. Step 5: Solve for x
    x = 65,743,761,600.76/296,594.70
  6. Step 6: Final answer
    x = 221,661.96

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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.