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Finding the Fourth Proportional to 599,559.60, 897,371.10 and 465,715.20

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Solution

The fourth proportional to 599,559.60, 897,371.10 and 465,715.20 is: 697,043.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,559.60 : 897,371.10 = 465,715.20 : x
  2. Step 2: Convert to fraction form
    599,559.60/897,371.10 = 465,715.20/x
  3. Step 3: Cross multiply
    599,559.60x = 897,371.10 × 465,715.20
  4. Step 4: Simplify right side
    599,559.60x = 417,919,361,310.72
  5. Step 5: Solve for x
    x = 417,919,361,310.72/599,559.60
  6. Step 6: Final answer
    x = 697,043.90

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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.