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Finding the Fourth Proportional to 587,206.02, 810,319.50 and 342,213.96

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Solution

The fourth proportional to 587,206.02, 810,319.50 and 342,213.96 is: 472,240.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,206.02 : 810,319.50 = 342,213.96 : x
  2. Step 2: Convert to fraction form
    587,206.02/810,319.50 = 342,213.96/x
  3. Step 3: Cross multiply
    587,206.02x = 810,319.50 × 342,213.96
  4. Step 4: Simplify right side
    587,206.02x = 277,302,644,960.22
  5. Step 5: Solve for x
    x = 277,302,644,960.22/587,206.02
  6. Step 6: Final answer
    x = 472,240.81

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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.