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Finding the Fourth Proportional to 612,101.46, 844,683.06 and 340,162.38

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Solution

The fourth proportional to 612,101.46, 844,683.06 and 340,162.38 is: 469,414.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,101.46 : 844,683.06 = 340,162.38 : x
  2. Step 2: Convert to fraction form
    612,101.46/844,683.06 = 340,162.38/x
  3. Step 3: Cross multiply
    612,101.46x = 844,683.06 × 340,162.38
  4. Step 4: Simplify right side
    612,101.46x = 287,329,400,035.28
  5. Step 5: Solve for x
    x = 287,329,400,035.28/612,101.46
  6. Step 6: Final answer
    x = 469,414.66

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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.