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Finding the Fourth Proportional to 546,084, 753,571.68 and 304,392.96

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Solution

The fourth proportional to 546,084, 753,571.68 and 304,392.96 is: 420,048.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,084 : 753,571.68 = 304,392.96 : x
  2. Step 2: Convert to fraction form
    546,084/753,571.68 = 304,392.96/x
  3. Step 3: Cross multiply
    546,084x = 753,571.68 × 304,392.96
  4. Step 4: Simplify right side
    546,084x = 229,381,914,247.37
  5. Step 5: Solve for x
    x = 229,381,914,247.37/546,084
  6. Step 6: Final answer
    x = 420,048.77

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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.