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Finding the Fourth Proportional to 610,281.34, 842,238.15 and 338,434.50

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Solution

The fourth proportional to 610,281.34, 842,238.15 and 338,434.50 is: 467,067.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,281.34 : 842,238.15 = 338,434.50 : x
  2. Step 2: Convert to fraction form
    610,281.34/842,238.15 = 338,434.50/x
  3. Step 3: Cross multiply
    610,281.34x = 842,238.15 × 338,434.50
  4. Step 4: Simplify right side
    610,281.34x = 285,042,450,969.13
  5. Step 5: Solve for x
    x = 285,042,450,969.13/610,281.34
  6. Step 6: Final answer
    x = 467,067.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.