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Finding the Fourth Proportional to 587,766, 811,117.62 and 319,494

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Solution

The fourth proportional to 587,766, 811,117.62 and 319,494 is: 440,902.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,766 : 811,117.62 = 319,494 : x
  2. Step 2: Convert to fraction form
    587,766/811,117.62 = 319,494/x
  3. Step 3: Cross multiply
    587,766x = 811,117.62 × 319,494
  4. Step 4: Simplify right side
    587,766x = 259,147,212,884.28
  5. Step 5: Solve for x
    x = 259,147,212,884.28/587,766
  6. Step 6: Final answer
    x = 440,902.01

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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.