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Finding the Fourth Proportional to 610,524.14, 842,575.07 and 338,679.63

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Solution

The fourth proportional to 610,524.14, 842,575.07 and 338,679.63 is: 467,406.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,524.14 : 842,575.07 = 338,679.63 : x
  2. Step 2: Convert to fraction form
    610,524.14/842,575.07 = 338,679.63/x
  3. Step 3: Cross multiply
    610,524.14x = 842,575.07 × 338,679.63
  4. Step 4: Simplify right side
    610,524.14x = 285,363,011,261.43
  5. Step 5: Solve for x
    x = 285,363,011,261.43/610,524.14
  6. Step 6: Final answer
    x = 467,406.60

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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.