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Finding the Fourth Proportional to 409,114.92, 564,464.52 and 263,859.24

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Solution

The fourth proportional to 409,114.92, 564,464.52 and 263,859.24 is: 364,052.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,114.92 : 564,464.52 = 263,859.24 : x
  2. Step 2: Convert to fraction form
    409,114.92/564,464.52 = 263,859.24/x
  3. Step 3: Cross multiply
    409,114.92x = 564,464.52 × 263,859.24
  4. Step 4: Simplify right side
    409,114.92x = 148,939,179,254.17
  5. Step 5: Solve for x
    x = 148,939,179,254.17/409,114.92
  6. Step 6: Final answer
    x = 364,052.18

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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.