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Finding the Fourth Proportional to 409,568.40, 614,352.60 and 372,826.80

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Solution

The fourth proportional to 409,568.40, 614,352.60 and 372,826.80 is: 559,240.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,568.40 : 614,352.60 = 372,826.80 : x
  2. Step 2: Convert to fraction form
    409,568.40/614,352.60 = 372,826.80/x
  3. Step 3: Cross multiply
    409,568.40x = 614,352.60 × 372,826.80
  4. Step 4: Simplify right side
    409,568.40x = 229,047,113,929.68
  5. Step 5: Solve for x
    x = 229,047,113,929.68/409,568.40
  6. Step 6: Final answer
    x = 559,240.20

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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.