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Finding the Fourth Proportional to 827,175.90, 1,238,139.45 and 827,175.90

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Solution

The fourth proportional to 827,175.90, 1,238,139.45 and 827,175.90 is: 1,238,139.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,175.90 : 1,238,139.45 = 827,175.90 : x
  2. Step 2: Convert to fraction form
    827,175.90/1,238,139.45 = 827,175.90/x
  3. Step 3: Cross multiply
    827,175.90x = 1,238,139.45 × 827,175.90
  4. Step 4: Simplify right side
    827,175.90x = 1,024,159,113,879.26
  5. Step 5: Solve for x
    x = 1,024,159,113,879.26/827,175.90
  6. Step 6: Final answer
    x = 1,238,139.45

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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.