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Finding the Fourth Proportional to 512,223.60, 768,335.40 and 387,807.60

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Solution

The fourth proportional to 512,223.60, 768,335.40 and 387,807.60 is: 581,711.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,223.60 : 768,335.40 = 387,807.60 : x
  2. Step 2: Convert to fraction form
    512,223.60/768,335.40 = 387,807.60/x
  3. Step 3: Cross multiply
    512,223.60x = 768,335.40 × 387,807.60
  4. Step 4: Simplify right side
    512,223.60x = 297,966,307,469.04
  5. Step 5: Solve for x
    x = 297,966,307,469.04/512,223.60
  6. Step 6: Final answer
    x = 581,711.40

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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.