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Finding the Fourth Proportional to 445,513.48, 614,753.50 and 284,462.80

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Solution

The fourth proportional to 445,513.48, 614,753.50 and 284,462.80 is: 392,523.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,513.48 : 614,753.50 = 284,462.80 : x
  2. Step 2: Convert to fraction form
    445,513.48/614,753.50 = 284,462.80/x
  3. Step 3: Cross multiply
    445,513.48x = 614,753.50 × 284,462.80
  4. Step 4: Simplify right side
    445,513.48x = 174,874,501,919.80
  5. Step 5: Solve for x
    x = 174,874,501,919.80/445,513.48
  6. Step 6: Final answer
    x = 392,523.48

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1.5x scale

Why These Related Problems?

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