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Finding the Fourth Proportional to 462,531.60, 638,400.24 and 301,105.47

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Solution

The fourth proportional to 462,531.60, 638,400.24 and 301,105.47 is: 415,594.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,531.60 : 638,400.24 = 301,105.47 : x
  2. Step 2: Convert to fraction form
    462,531.60/638,400.24 = 301,105.47/x
  3. Step 3: Cross multiply
    462,531.60x = 638,400.24 × 301,105.47
  4. Step 4: Simplify right side
    462,531.60x = 192,225,804,313.31
  5. Step 5: Solve for x
    x = 192,225,804,313.31/462,531.60
  6. Step 6: Final answer
    x = 415,594.97

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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.