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Finding the Fourth Proportional to 410,040.60, 615,158.10 and 210,391.80

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Solution

The fourth proportional to 410,040.60, 615,158.10 and 210,391.80 is: 315,637.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,040.60 : 615,158.10 = 210,391.80 : x
  2. Step 2: Convert to fraction form
    410,040.60/615,158.10 = 210,391.80/x
  3. Step 3: Cross multiply
    410,040.60x = 615,158.10 × 210,391.80
  4. Step 4: Simplify right side
    410,040.60x = 129,424,219,943.58
  5. Step 5: Solve for x
    x = 129,424,219,943.58/410,040.60
  6. Step 6: Final answer
    x = 315,637.57

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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.