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Finding the Fourth Proportional to 445,512.48, 614,752.12 and 284,461.80

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Solution

The fourth proportional to 445,512.48, 614,752.12 and 284,461.80 is: 392,522.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,512.48 : 614,752.12 = 284,461.80 : x
  2. Step 2: Convert to fraction form
    445,512.48/614,752.12 = 284,461.80/x
  3. Step 3: Cross multiply
    445,512.48x = 614,752.12 × 284,461.80
  4. Step 4: Simplify right side
    445,512.48x = 174,873,494,609.02
  5. Step 5: Solve for x
    x = 174,873,494,609.02/445,512.48
  6. Step 6: Final answer
    x = 392,522.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.