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Finding the Fourth Proportional to 296,726.15, 409,481.53 and 160,763.47

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Solution

The fourth proportional to 296,726.15, 409,481.53 and 160,763.47 is: 221,853.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,726.15 : 409,481.53 = 160,763.47 : x
  2. Step 2: Convert to fraction form
    296,726.15/409,481.53 = 160,763.47/x
  3. Step 3: Cross multiply
    296,726.15x = 409,481.53 × 160,763.47
  4. Step 4: Simplify right side
    296,726.15x = 65,829,673,445.72
  5. Step 5: Solve for x
    x = 65,829,673,445.72/296,726.15
  6. Step 6: Final answer
    x = 221,853.30

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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.