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Finding the Fourth Proportional to 409,466.60, 614,588.70 and 252,002.60

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Solution

The fourth proportional to 409,466.60, 614,588.70 and 252,002.60 is: 378,243.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,466.60 : 614,588.70 = 252,002.60 : x
  2. Step 2: Convert to fraction form
    409,466.60/614,588.70 = 252,002.60/x
  3. Step 3: Cross multiply
    409,466.60x = 614,588.70 × 252,002.60
  4. Step 4: Simplify right side
    409,466.60x = 154,877,950,330.62
  5. Step 5: Solve for x
    x = 154,877,950,330.62/409,466.60
  6. Step 6: Final answer
    x = 378,243.18

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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.