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Finding the Fourth Proportional to 655,098.60, 982,647.93 and 181,784.13

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Solution

The fourth proportional to 655,098.60, 982,647.93 and 181,784.13 is: 272,676.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,098.60 : 982,647.93 = 181,784.13 : x
  2. Step 2: Convert to fraction form
    655,098.60/982,647.93 = 181,784.13/x
  3. Step 3: Cross multiply
    655,098.60x = 982,647.93 × 181,784.13
  4. Step 4: Simplify right side
    655,098.60x = 178,629,799,051.35
  5. Step 5: Solve for x
    x = 178,629,799,051.35/655,098.60
  6. Step 6: Final answer
    x = 272,676.20

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Why These Related Problems?

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