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Finding the Fourth Proportional to 473,217.48, 709,928.28 and 136,255.86

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Solution

The fourth proportional to 473,217.48, 709,928.28 and 136,255.86 is: 204,413.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,217.48 : 709,928.28 = 136,255.86 : x
  2. Step 2: Convert to fraction form
    473,217.48/709,928.28 = 136,255.86/x
  3. Step 3: Cross multiply
    473,217.48x = 709,928.28 × 136,255.86
  4. Step 4: Simplify right side
    473,217.48x = 96,731,888,329.72
  5. Step 5: Solve for x
    x = 96,731,888,329.72/473,217.48
  6. Step 6: Final answer
    x = 204,413.18

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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.