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Finding the Fourth Proportional to 346,477.53, 478,107.87 and 193,494.48

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Solution

The fourth proportional to 346,477.53, 478,107.87 and 193,494.48 is: 267,005.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,477.53 : 478,107.87 = 193,494.48 : x
  2. Step 2: Convert to fraction form
    346,477.53/478,107.87 = 193,494.48/x
  3. Step 3: Cross multiply
    346,477.53x = 478,107.87 × 193,494.48
  4. Step 4: Simplify right side
    346,477.53x = 92,511,233,689.56
  5. Step 5: Solve for x
    x = 92,511,233,689.56/346,477.53
  6. Step 6: Final answer
    x = 267,005.00

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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.