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Finding the Fourth Proportional to 614,338.96, 847,791.94 and 342,424.34

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Solution

The fourth proportional to 614,338.96, 847,791.94 and 342,424.34 is: 472,547.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,338.96 : 847,791.94 = 342,424.34 : x
  2. Step 2: Convert to fraction form
    614,338.96/847,791.94 = 342,424.34/x
  3. Step 3: Cross multiply
    614,338.96x = 847,791.94 × 342,424.34
  4. Step 4: Simplify right side
    614,338.96x = 290,304,595,511.82
  5. Step 5: Solve for x
    x = 290,304,595,511.82/614,338.96
  6. Step 6: Final answer
    x = 472,547.92

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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.