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Finding the Fourth Proportional to 310,424.60, 465,962.68 and 275,111.84

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Solution

The fourth proportional to 310,424.60, 465,962.68 and 275,111.84 is: 412,956.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,424.60 : 465,962.68 = 275,111.84 : x
  2. Step 2: Convert to fraction form
    310,424.60/465,962.68 = 275,111.84/x
  3. Step 3: Cross multiply
    310,424.60x = 465,962.68 × 275,111.84
  4. Step 4: Simplify right side
    310,424.60x = 128,191,850,227.42
  5. Step 5: Solve for x
    x = 128,191,850,227.42/310,424.60
  6. Step 6: Final answer
    x = 412,956.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.