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Finding the Fourth Proportional to 456,438.76, 684,366.46 and 219,309.64

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Solution

The fourth proportional to 456,438.76, 684,366.46 and 219,309.64 is: 328,824.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,438.76 : 684,366.46 = 219,309.64 : x
  2. Step 2: Convert to fraction form
    456,438.76/684,366.46 = 219,309.64/x
  3. Step 3: Cross multiply
    456,438.76x = 684,366.46 × 219,309.64
  4. Step 4: Simplify right side
    456,438.76x = 150,088,161,970.67
  5. Step 5: Solve for x
    x = 150,088,161,970.67/456,438.76
  6. Step 6: Final answer
    x = 328,824.31

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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.