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Finding the Fourth Proportional to 409,529.10, 564,796.72 and 266,236.86

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Solution

The fourth proportional to 409,529.10, 564,796.72 and 266,236.86 is: 367,177.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,529.10 : 564,796.72 = 266,236.86 : x
  2. Step 2: Convert to fraction form
    409,529.10/564,796.72 = 266,236.86/x
  3. Step 3: Cross multiply
    409,529.10x = 564,796.72 × 266,236.86
  4. Step 4: Simplify right side
    409,529.10x = 150,369,705,271.10
  5. Step 5: Solve for x
    x = 150,369,705,271.10/409,529.10
  6. Step 6: Final answer
    x = 367,177.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.