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Finding the Fourth Proportional to 462,451.74, 638,264.61 and 268,919.34

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Solution

The fourth proportional to 462,451.74, 638,264.61 and 268,919.34 is: 371,155.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,451.74 : 638,264.61 = 268,919.34 : x
  2. Step 2: Convert to fraction form
    462,451.74/638,264.61 = 268,919.34/x
  3. Step 3: Cross multiply
    462,451.74x = 638,264.61 × 268,919.34
  4. Step 4: Simplify right side
    462,451.74x = 171,641,697,666.56
  5. Step 5: Solve for x
    x = 171,641,697,666.56/462,451.74
  6. Step 6: Final answer
    x = 371,155.91

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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.