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Finding the Fourth Proportional to 462,570.54, 638,454.03 and 301,144.50

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Solution

The fourth proportional to 462,570.54, 638,454.03 and 301,144.50 is: 415,648.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,570.54 : 638,454.03 = 301,144.50 : x
  2. Step 2: Convert to fraction form
    462,570.54/638,454.03 = 301,144.50/x
  3. Step 3: Cross multiply
    462,570.54x = 638,454.03 × 301,144.50
  4. Step 4: Simplify right side
    462,570.54x = 192,266,919,637.34
  5. Step 5: Solve for x
    x = 192,266,919,637.34/462,570.54
  6. Step 6: Final answer
    x = 415,648.86

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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.