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Finding the Fourth Proportional to 395,560.74, 593,275.53 and 142,792.80

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Solution

The fourth proportional to 395,560.74, 593,275.53 and 142,792.80 is: 214,165.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,560.74 : 593,275.53 = 142,792.80 : x
  2. Step 2: Convert to fraction form
    395,560.74/593,275.53 = 142,792.80/x
  3. Step 3: Cross multiply
    395,560.74x = 593,275.53 × 142,792.80
  4. Step 4: Simplify right side
    395,560.74x = 84,715,474,100.18
  5. Step 5: Solve for x
    x = 84,715,474,100.18/395,560.74
  6. Step 6: Final answer
    x = 214,165.53

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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.