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Finding the Fourth Proportional to 458,809.82, 633,248.13 and 293,131.81

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Solution

The fourth proportional to 458,809.82, 633,248.13 and 293,131.81 is: 404,579.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,809.82 : 633,248.13 = 293,131.81 : x
  2. Step 2: Convert to fraction form
    458,809.82/633,248.13 = 293,131.81/x
  3. Step 3: Cross multiply
    458,809.82x = 633,248.13 × 293,131.81
  4. Step 4: Simplify right side
    458,809.82x = 185,625,170,767.95
  5. Step 5: Solve for x
    x = 185,625,170,767.95/458,809.82
  6. Step 6: Final answer
    x = 404,579.77

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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.