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Finding the Fourth Proportional to 512,501.60, 768,752.40 and 488,007.20

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Solution

The fourth proportional to 512,501.60, 768,752.40 and 488,007.20 is: 732,010.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,501.60 : 768,752.40 = 488,007.20 : x
  2. Step 2: Convert to fraction form
    512,501.60/768,752.40 = 488,007.20/x
  3. Step 3: Cross multiply
    512,501.60x = 768,752.40 × 488,007.20
  4. Step 4: Simplify right side
    512,501.60x = 375,156,706,217.28
  5. Step 5: Solve for x
    x = 375,156,706,217.28/512,501.60
  6. Step 6: Final answer
    x = 732,010.80

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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.