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Finding the Fourth Proportional to 462,956.34, 638,738.03 and 301,752.57

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Solution

The fourth proportional to 462,956.34, 638,738.03 and 301,752.57 is: 416,326.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,956.34 : 638,738.03 = 301,752.57 : x
  2. Step 2: Convert to fraction form
    462,956.34/638,738.03 = 301,752.57/x
  3. Step 3: Cross multiply
    462,956.34x = 638,738.03 × 301,752.57
  4. Step 4: Simplify right side
    462,956.34x = 192,740,840,600.47
  5. Step 5: Solve for x
    x = 192,740,840,600.47/462,956.34
  6. Step 6: Final answer
    x = 416,326.17

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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.