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Finding the Fourth Proportional to 313,132.32, 469,696.86 and 76,476.24

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Solution

The fourth proportional to 313,132.32, 469,696.86 and 76,476.24 is: 114,713.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,132.32 : 469,696.86 = 76,476.24 : x
  2. Step 2: Convert to fraction form
    313,132.32/469,696.86 = 76,476.24/x
  3. Step 3: Cross multiply
    313,132.32x = 469,696.86 × 76,476.24
  4. Step 4: Simplify right side
    313,132.32x = 35,920,649,792.61
  5. Step 5: Solve for x
    x = 35,920,649,792.61/313,132.32
  6. Step 6: Final answer
    x = 114,713.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.