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Finding the Fourth Proportional to 462,648.40, 694,083.48 and 159,037.36

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Solution

The fourth proportional to 462,648.40, 694,083.48 and 159,037.36 is: 238,594.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,648.40 : 694,083.48 = 159,037.36 : x
  2. Step 2: Convert to fraction form
    462,648.40/694,083.48 = 159,037.36/x
  3. Step 3: Cross multiply
    462,648.40x = 694,083.48 × 159,037.36
  4. Step 4: Simplify right side
    462,648.40x = 110,385,204,278.81
  5. Step 5: Solve for x
    x = 110,385,204,278.81/462,648.40
  6. Step 6: Final answer
    x = 238,594.16

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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.