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Finding the Fourth Proportional to 445,246.52, 614,409.86 and 284,083.76

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Solution

The fourth proportional to 445,246.52, 614,409.86 and 284,083.76 is: 392,016.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,246.52 : 614,409.86 = 284,083.76 : x
  2. Step 2: Convert to fraction form
    445,246.52/614,409.86 = 284,083.76/x
  3. Step 3: Cross multiply
    445,246.52x = 614,409.86 × 284,083.76
  4. Step 4: Simplify right side
    445,246.52x = 174,543,858,717.41
  5. Step 5: Solve for x
    x = 174,543,858,717.41/445,246.52
  6. Step 6: Final answer
    x = 392,016.23

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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.