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Finding the Fourth Proportional to 582,765.75, 874,198.14 and 162,041.63

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Solution

The fourth proportional to 582,765.75, 874,198.14 and 162,041.63 is: 243,076.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,765.75 : 874,198.14 = 162,041.63 : x
  2. Step 2: Convert to fraction form
    582,765.75/874,198.14 = 162,041.63/x
  3. Step 3: Cross multiply
    582,765.75x = 874,198.14 × 162,041.63
  4. Step 4: Simplify right side
    582,765.75x = 141,656,486,569.92
  5. Step 5: Solve for x
    x = 141,656,486,569.92/582,765.75
  6. Step 6: Final answer
    x = 243,076.20

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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.