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Finding the Fourth Proportional to 409,615.20, 614,422.80 and 362,959.20

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Solution

The fourth proportional to 409,615.20, 614,422.80 and 362,959.20 is: 544,438.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,615.20 : 614,422.80 = 362,959.20 : x
  2. Step 2: Convert to fraction form
    409,615.20/614,422.80 = 362,959.20/x
  3. Step 3: Cross multiply
    409,615.20x = 614,422.80 × 362,959.20
  4. Step 4: Simplify right side
    409,615.20x = 223,010,407,949.76
  5. Step 5: Solve for x
    x = 223,010,407,949.76/409,615.20
  6. Step 6: Final answer
    x = 544,438.80

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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.