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Finding the Fourth Proportional to 497,202.34, 686,135.64 and 270,847.84

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Solution

The fourth proportional to 497,202.34, 686,135.64 and 270,847.84 is: 373,768.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,202.34 : 686,135.64 = 270,847.84 : x
  2. Step 2: Convert to fraction form
    497,202.34/686,135.64 = 270,847.84/x
  3. Step 3: Cross multiply
    497,202.34x = 686,135.64 × 270,847.84
  4. Step 4: Simplify right side
    497,202.34x = 185,838,356,041.02
  5. Step 5: Solve for x
    x = 185,838,356,041.02/497,202.34
  6. Step 6: Final answer
    x = 373,768.06

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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.