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Finding the Fourth Proportional to 376,186.40, 564,437.90 and 234,150.48

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Solution

The fourth proportional to 376,186.40, 564,437.90 and 234,150.48 is: 351,324.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,186.40 : 564,437.90 = 234,150.48 : x
  2. Step 2: Convert to fraction form
    376,186.40/564,437.90 = 234,150.48/x
  3. Step 3: Cross multiply
    376,186.40x = 564,437.90 × 234,150.48
  4. Step 4: Simplify right side
    376,186.40x = 132,163,405,215.19
  5. Step 5: Solve for x
    x = 132,163,405,215.19/376,186.40
  6. Step 6: Final answer
    x = 351,324.25

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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.