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Finding the Fourth Proportional to 376,489.20, 564,803.76 and 123,783.84

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Solution

The fourth proportional to 376,489.20, 564,803.76 and 123,783.84 is: 185,698.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,489.20 : 564,803.76 = 123,783.84 : x
  2. Step 2: Convert to fraction form
    376,489.20/564,803.76 = 123,783.84/x
  3. Step 3: Cross multiply
    376,489.20x = 564,803.76 × 123,783.84
  4. Step 4: Simplify right side
    376,489.20x = 69,913,578,259.24
  5. Step 5: Solve for x
    x = 69,913,578,259.24/376,489.20
  6. Step 6: Final answer
    x = 185,698.76

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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.