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Finding the Fourth Proportional to 566,002, 847,932.72 and 334,500.22

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Solution

The fourth proportional to 566,002, 847,932.72 and 334,500.22 is: 501,117.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,002 : 847,932.72 = 334,500.22 : x
  2. Step 2: Convert to fraction form
    566,002/847,932.72 = 334,500.22/x
  3. Step 3: Cross multiply
    566,002x = 847,932.72 × 334,500.22
  4. Step 4: Simplify right side
    566,002x = 283,633,681,385.20
  5. Step 5: Solve for x
    x = 283,633,681,385.20/566,002
  6. Step 6: Final answer
    x = 501,117.81

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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.