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Finding the Fourth Proportional to 587,209.60, 880,814.40 and 461,238.40

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Solution

The fourth proportional to 587,209.60, 880,814.40 and 461,238.40 is: 691,857.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,209.60 : 880,814.40 = 461,238.40 : x
  2. Step 2: Convert to fraction form
    587,209.60/880,814.40 = 461,238.40/x
  3. Step 3: Cross multiply
    587,209.60x = 880,814.40 × 461,238.40
  4. Step 4: Simplify right side
    587,209.60x = 406,265,424,552.96
  5. Step 5: Solve for x
    x = 406,265,424,552.96/587,209.60
  6. Step 6: Final answer
    x = 691,857.60

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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.