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Finding the Fourth Proportional to 409,817.60, 614,459.10 and 367,827.20

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Solution

The fourth proportional to 409,817.60, 614,459.10 and 367,827.20 is: 551,500.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,817.60 : 614,459.10 = 367,827.20 : x
  2. Step 2: Convert to fraction form
    409,817.60/614,459.10 = 367,827.20/x
  3. Step 3: Cross multiply
    409,817.60x = 614,459.10 × 367,827.20
  4. Step 4: Simplify right side
    409,817.60x = 226,014,770,267.52
  5. Step 5: Solve for x
    x = 226,014,770,267.52/409,817.60
  6. Step 6: Final answer
    x = 551,500.89

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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.