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Finding the Fourth Proportional to 456,080.70, 684,315.45 and 287,730.30

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Solution

The fourth proportional to 456,080.70, 684,315.45 and 287,730.30 is: 431,718.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,080.70 : 684,315.45 = 287,730.30 : x
  2. Step 2: Convert to fraction form
    456,080.70/684,315.45 = 287,730.30/x
  3. Step 3: Cross multiply
    456,080.70x = 684,315.45 × 287,730.30
  4. Step 4: Simplify right side
    456,080.70x = 196,898,289,723.14
  5. Step 5: Solve for x
    x = 196,898,289,723.14/456,080.70
  6. Step 6: Final answer
    x = 431,718.09

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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.