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Finding the Fourth Proportional to 347,023.20, 521,701.20 and 295,701.60

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Solution

The fourth proportional to 347,023.20, 521,701.20 and 295,701.60 is: 444,546.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,023.20 : 521,701.20 = 295,701.60 : x
  2. Step 2: Convert to fraction form
    347,023.20/521,701.20 = 295,701.60/x
  3. Step 3: Cross multiply
    347,023.20x = 521,701.20 × 295,701.60
  4. Step 4: Simplify right side
    347,023.20x = 154,267,879,561.92
  5. Step 5: Solve for x
    x = 154,267,879,561.92/347,023.20
  6. Step 6: Final answer
    x = 444,546.30

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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.