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Finding the Fourth Proportional to 346,410, 519,787.20 and 194,512.56

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Solution

The fourth proportional to 346,410, 519,787.20 and 194,512.56 is: 291,865.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,410 : 519,787.20 = 194,512.56 : x
  2. Step 2: Convert to fraction form
    346,410/519,787.20 = 194,512.56/x
  3. Step 3: Cross multiply
    346,410x = 519,787.20 × 194,512.56
  4. Step 4: Simplify right side
    346,410x = 101,105,138,927.23
  5. Step 5: Solve for x
    x = 101,105,138,927.23/346,410
  6. Step 6: Final answer
    x = 291,865.53

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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.