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Finding the Fourth Proportional to 287,815.68, 431,674.92 and 77,406.84

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Solution

The fourth proportional to 287,815.68, 431,674.92 and 77,406.84 is: 116,097.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,815.68 : 431,674.92 = 77,406.84 : x
  2. Step 2: Convert to fraction form
    287,815.68/431,674.92 = 77,406.84/x
  3. Step 3: Cross multiply
    287,815.68x = 431,674.92 × 77,406.84
  4. Step 4: Simplify right side
    287,815.68x = 33,414,591,464.45
  5. Step 5: Solve for x
    x = 33,414,591,464.45/287,815.68
  6. Step 6: Final answer
    x = 116,097.19

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1.5x scale

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.