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Finding the Fourth Proportional to 452,304.46, 678,459.03 and 265,184.74

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Solution

The fourth proportional to 452,304.46, 678,459.03 and 265,184.74 is: 397,778.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,304.46 : 678,459.03 = 265,184.74 : x
  2. Step 2: Convert to fraction form
    452,304.46/678,459.03 = 265,184.74/x
  3. Step 3: Cross multiply
    452,304.46x = 678,459.03 × 265,184.74
  4. Step 4: Simplify right side
    452,304.46x = 179,916,981,471.20
  5. Step 5: Solve for x
    x = 179,916,981,471.20/452,304.46
  6. Step 6: Final answer
    x = 397,778.48

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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.