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Finding the Fourth Proportional to 497,406.50, 686,421.06 and 271,052

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Solution

The fourth proportional to 497,406.50, 686,421.06 and 271,052 is: 374,051.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,406.50 : 686,421.06 = 271,052 : x
  2. Step 2: Convert to fraction form
    497,406.50/686,421.06 = 271,052/x
  3. Step 3: Cross multiply
    497,406.50x = 686,421.06 × 271,052
  4. Step 4: Simplify right side
    497,406.50x = 186,055,801,155.12
  5. Step 5: Solve for x
    x = 186,055,801,155.12/497,406.50
  6. Step 6: Final answer
    x = 374,051.81

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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.