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Finding the Fourth Proportional to 519,863.35, 717,016.40 and 447,386.78

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Solution

The fourth proportional to 519,863.35, 717,016.40 and 447,386.78 is: 617,053.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,863.35 : 717,016.40 = 447,386.78 : x
  2. Step 2: Convert to fraction form
    519,863.35/717,016.40 = 447,386.78/x
  3. Step 3: Cross multiply
    519,863.35x = 717,016.40 × 447,386.78
  4. Step 4: Simplify right side
    519,863.35x = 320,783,654,373.72
  5. Step 5: Solve for x
    x = 320,783,654,373.72/519,863.35
  6. Step 6: Final answer
    x = 617,053.80

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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.