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Finding the Fourth Proportional to 357,076.52, 492,763.75 and 202,034.60

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Solution

The fourth proportional to 357,076.52, 492,763.75 and 202,034.60 is: 278,806.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,076.52 : 492,763.75 = 202,034.60 : x
  2. Step 2: Convert to fraction form
    357,076.52/492,763.75 = 202,034.60/x
  3. Step 3: Cross multiply
    357,076.52x = 492,763.75 × 202,034.60
  4. Step 4: Simplify right side
    357,076.52x = 99,555,324,156.84
  5. Step 5: Solve for x
    x = 99,555,324,156.84/357,076.52
  6. Step 6: Final answer
    x = 278,806.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.