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Finding the Fourth Proportional to 409,962.60, 615,059.10 and 199,607.40

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Solution

The fourth proportional to 409,962.60, 615,059.10 and 199,607.40 is: 299,467.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,962.60 : 615,059.10 = 199,607.40 : x
  2. Step 2: Convert to fraction form
    409,962.60/615,059.10 = 199,607.40/x
  3. Step 3: Cross multiply
    409,962.60x = 615,059.10 × 199,607.40
  4. Step 4: Simplify right side
    409,962.60x = 122,770,347,797.34
  5. Step 5: Solve for x
    x = 122,770,347,797.34/409,962.60
  6. Step 6: Final answer
    x = 299,467.19

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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.