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Finding the Fourth Proportional to 587,114.50, 810,218.01 and 318,842.50

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Solution

The fourth proportional to 587,114.50, 810,218.01 and 318,842.50 is: 440,002.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,114.50 : 810,218.01 = 318,842.50 : x
  2. Step 2: Convert to fraction form
    587,114.50/810,218.01 = 318,842.50/x
  3. Step 3: Cross multiply
    587,114.50x = 810,218.01 × 318,842.50
  4. Step 4: Simplify right side
    587,114.50x = 258,331,935,853.43
  5. Step 5: Solve for x
    x = 258,331,935,853.43/587,114.50
  6. Step 6: Final answer
    x = 440,002.65

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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.