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Finding the Fourth Proportional to 346,697.82, 478,433.82 and 193,737.27

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Solution

The fourth proportional to 346,697.82, 478,433.82 and 193,737.27 is: 267,352.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,697.82 : 478,433.82 = 193,737.27 : x
  2. Step 2: Convert to fraction form
    346,697.82/478,433.82 = 193,737.27/x
  3. Step 3: Cross multiply
    346,697.82x = 478,433.82 × 193,737.27
  4. Step 4: Simplify right side
    346,697.82x = 92,690,462,162.47
  5. Step 5: Solve for x
    x = 92,690,462,162.47/346,697.82
  6. Step 6: Final answer
    x = 267,352.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.