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Finding the Fourth Proportional to 409,617.20, 614,425.80 and 362,961.20

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Solution

The fourth proportional to 409,617.20, 614,425.80 and 362,961.20 is: 544,441.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,617.20 : 614,425.80 = 362,961.20 : x
  2. Step 2: Convert to fraction form
    409,617.20/614,425.80 = 362,961.20/x
  3. Step 3: Cross multiply
    409,617.20x = 614,425.80 × 362,961.20
  4. Step 4: Simplify right side
    409,617.20x = 223,012,725,678.96
  5. Step 5: Solve for x
    x = 223,012,725,678.96/409,617.20
  6. Step 6: Final answer
    x = 544,441.80

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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.