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Finding the Fourth Proportional to 587,807.92, 809,735.16 and 426,188.08

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Solution

The fourth proportional to 587,807.92, 809,735.16 and 426,188.08 is: 587,095.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,807.92 : 809,735.16 = 426,188.08 : x
  2. Step 2: Convert to fraction form
    587,807.92/809,735.16 = 426,188.08/x
  3. Step 3: Cross multiply
    587,807.92x = 809,735.16 × 426,188.08
  4. Step 4: Simplify right side
    587,807.92x = 345,099,473,148.89
  5. Step 5: Solve for x
    x = 345,099,473,148.89/587,807.92
  6. Step 6: Final answer
    x = 587,095.65

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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.