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Finding the Fourth Proportional to 566,787, 850,180.50 and 234,371.64

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Solution

The fourth proportional to 566,787, 850,180.50 and 234,371.64 is: 351,557.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,787 : 850,180.50 = 234,371.64 : x
  2. Step 2: Convert to fraction form
    566,787/850,180.50 = 234,371.64/x
  3. Step 3: Cross multiply
    566,787x = 850,180.50 × 234,371.64
  4. Step 4: Simplify right side
    566,787x = 199,258,198,081.02
  5. Step 5: Solve for x
    x = 199,258,198,081.02/566,787
  6. Step 6: Final answer
    x = 351,557.46

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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.