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Finding the Fourth Proportional to 230,473, 345,767.82 and 64,261

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Solution

The fourth proportional to 230,473, 345,767.82 and 64,261 is: 96,407.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,473 : 345,767.82 = 64,261 : x
  2. Step 2: Convert to fraction form
    230,473/345,767.82 = 64,261/x
  3. Step 3: Cross multiply
    230,473x = 345,767.82 × 64,261
  4. Step 4: Simplify right side
    230,473x = 22,219,385,881.02
  5. Step 5: Solve for x
    x = 22,219,385,881.02/230,473
  6. Step 6: Final answer
    x = 96,407.76

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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.