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Finding the Fourth Proportional to 982,134, 1,473,196.80 and 272,160

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Solution

The fourth proportional to 982,134, 1,473,196.80 and 272,160 is: 408,238.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,134 : 1,473,196.80 = 272,160 : x
  2. Step 2: Convert to fraction form
    982,134/1,473,196.80 = 272,160/x
  3. Step 3: Cross multiply
    982,134x = 1,473,196.80 × 272,160
  4. Step 4: Simplify right side
    982,134x = 400,945,241,088
  5. Step 5: Solve for x
    x = 400,945,241,088/982,134
  6. Step 6: Final answer
    x = 408,238.84

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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.