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Finding the Fourth Proportional to 397,200.60, 595,582.20 and 160,275.60

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Solution

The fourth proportional to 397,200.60, 595,582.20 and 160,275.60 is: 240,325.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,200.60 : 595,582.20 = 160,275.60 : x
  2. Step 2: Convert to fraction form
    397,200.60/595,582.20 = 160,275.60/x
  3. Step 3: Cross multiply
    397,200.60x = 595,582.20 × 160,275.60
  4. Step 4: Simplify right side
    397,200.60x = 95,457,294,454.32
  5. Step 5: Solve for x
    x = 95,457,294,454.32/397,200.60
  6. Step 6: Final answer
    x = 240,325.15

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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.