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Finding the Fourth Proportional to 341,266, 511,500.45 and 256,754.68

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Solution

The fourth proportional to 341,266, 511,500.45 and 256,754.68 is: 384,832.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,266 : 511,500.45 = 256,754.68 : x
  2. Step 2: Convert to fraction form
    341,266/511,500.45 = 256,754.68/x
  3. Step 3: Cross multiply
    341,266x = 511,500.45 × 256,754.68
  4. Step 4: Simplify right side
    341,266x = 131,330,134,359.61
  5. Step 5: Solve for x
    x = 131,330,134,359.61/341,266
  6. Step 6: Final answer
    x = 384,832.17

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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.