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Finding the Fourth Proportional to 462,530.09, 638,398.17 and 301,103.97

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Solution

The fourth proportional to 462,530.09, 638,398.17 and 301,103.97 is: 415,592.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,530.09 : 638,398.17 = 301,103.97 : x
  2. Step 2: Convert to fraction form
    462,530.09/638,398.17 = 301,103.97/x
  3. Step 3: Cross multiply
    462,530.09x = 638,398.17 × 301,103.97
  4. Step 4: Simplify right side
    462,530.09x = 192,224,223,427.74
  5. Step 5: Solve for x
    x = 192,224,223,427.74/462,530.09
  6. Step 6: Final answer
    x = 415,592.91

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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.