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Finding the Fourth Proportional to 610,522.52, 842,572.82 and 338,678

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Solution

The fourth proportional to 610,522.52, 842,572.82 and 338,678 is: 467,404.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,522.52 : 842,572.82 = 338,678 : x
  2. Step 2: Convert to fraction form
    610,522.52/842,572.82 = 338,678/x
  3. Step 3: Cross multiply
    610,522.52x = 842,572.82 × 338,678
  4. Step 4: Simplify right side
    610,522.52x = 285,360,877,531.96
  5. Step 5: Solve for x
    x = 285,360,877,531.96/610,522.52
  6. Step 6: Final answer
    x = 467,404.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.