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Finding the Fourth Proportional to 456,097.20, 684,340.20 and 287,746.80

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Solution

The fourth proportional to 456,097.20, 684,340.20 and 287,746.80 is: 431,742.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,097.20 : 684,340.20 = 287,746.80 : x
  2. Step 2: Convert to fraction form
    456,097.20/684,340.20 = 287,746.80/x
  3. Step 3: Cross multiply
    456,097.20x = 684,340.20 × 287,746.80
  4. Step 4: Simplify right side
    456,097.20x = 196,916,702,661.36
  5. Step 5: Solve for x
    x = 196,916,702,661.36/456,097.20
  6. Step 6: Final answer
    x = 431,742.84

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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.