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Finding the Fourth Proportional to 407,407.80, 562,251.17 and 269,346.86

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Solution

The fourth proportional to 407,407.80, 562,251.17 and 269,346.86 is: 371,717.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,407.80 : 562,251.17 = 269,346.86 : x
  2. Step 2: Convert to fraction form
    407,407.80/562,251.17 = 269,346.86/x
  3. Step 3: Cross multiply
    407,407.80x = 562,251.17 × 269,346.86
  4. Step 4: Simplify right side
    407,407.80x = 151,440,587,170.83
  5. Step 5: Solve for x
    x = 151,440,587,170.83/407,407.80
  6. Step 6: Final answer
    x = 371,717.45

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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.