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Finding the Fourth Proportional to 462,561.04, 638,440.92 and 301,135

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Solution

The fourth proportional to 462,561.04, 638,440.92 and 301,135 is: 415,635.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,561.04 : 638,440.92 = 301,135 : x
  2. Step 2: Convert to fraction form
    462,561.04/638,440.92 = 301,135/x
  3. Step 3: Cross multiply
    462,561.04x = 638,440.92 × 301,135
  4. Step 4: Simplify right side
    462,561.04x = 192,256,906,444.20
  5. Step 5: Solve for x
    x = 192,256,906,444.20/462,561.04
  6. Step 6: Final answer
    x = 415,635.75

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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.