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Finding the Fourth Proportional to 376,158.72, 564,163.20 and 176,427.84

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Solution

The fourth proportional to 376,158.72, 564,163.20 and 176,427.84 is: 264,606.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,158.72 : 564,163.20 = 176,427.84 : x
  2. Step 2: Convert to fraction form
    376,158.72/564,163.20 = 176,427.84/x
  3. Step 3: Cross multiply
    376,158.72x = 564,163.20 × 176,427.84
  4. Step 4: Simplify right side
    376,158.72x = 99,534,094,783.49
  5. Step 5: Solve for x
    x = 99,534,094,783.49/376,158.72
  6. Step 6: Final answer
    x = 264,606.64

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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.