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Finding the Fourth Proportional to 296,422.71, 409,064.33 and 160,456.61

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Solution

The fourth proportional to 296,422.71, 409,064.33 and 160,456.61 is: 221,430.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,422.71 : 409,064.33 = 160,456.61 : x
  2. Step 2: Convert to fraction form
    296,422.71/409,064.33 = 160,456.61/x
  3. Step 3: Cross multiply
    296,422.71x = 409,064.33 × 160,456.61
  4. Step 4: Simplify right side
    296,422.71x = 65,637,076,184.96
  5. Step 5: Solve for x
    x = 65,637,076,184.96/296,422.71
  6. Step 6: Final answer
    x = 221,430.66

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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.