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Finding the Fourth Proportional to 587,113.76, 810,306.96 and 473,584.16

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Solution

The fourth proportional to 587,113.76, 810,306.96 and 473,584.16 is: 653,618.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,113.76 : 810,306.96 = 473,584.16 : x
  2. Step 2: Convert to fraction form
    587,113.76/810,306.96 = 473,584.16/x
  3. Step 3: Cross multiply
    587,113.76x = 810,306.96 × 473,584.16
  4. Step 4: Simplify right side
    587,113.76x = 383,748,540,993.75
  5. Step 5: Solve for x
    x = 383,748,540,993.75/587,113.76
  6. Step 6: Final answer
    x = 653,618.71

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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.