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Finding the Fourth Proportional to 462,263.29, 638,119.81 and 281,033.09

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Solution

The fourth proportional to 462,263.29, 638,119.81 and 281,033.09 is: 387,945.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,263.29 : 638,119.81 = 281,033.09 : x
  2. Step 2: Convert to fraction form
    462,263.29/638,119.81 = 281,033.09/x
  3. Step 3: Cross multiply
    462,263.29x = 638,119.81 × 281,033.09
  4. Step 4: Simplify right side
    462,263.29x = 179,332,781,994.51
  5. Step 5: Solve for x
    x = 179,332,781,994.51/462,263.29
  6. Step 6: Final answer
    x = 387,945.11

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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.