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Finding the Fourth Proportional to 432,423.93, 648,635.91 and 314,843.52

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Solution

The fourth proportional to 432,423.93, 648,635.91 and 314,843.52 is: 472,265.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,423.93 : 648,635.91 = 314,843.52 : x
  2. Step 2: Convert to fraction form
    432,423.93/648,635.91 = 314,843.52/x
  3. Step 3: Cross multiply
    432,423.93x = 648,635.91 × 314,843.52
  4. Step 4: Simplify right side
    432,423.93x = 204,218,813,102.80
  5. Step 5: Solve for x
    x = 204,218,813,102.80/432,423.93
  6. Step 6: Final answer
    x = 472,265.29

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Similar ratio
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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.