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Finding the Fourth Proportional to 286,843.06, 430,460.61 and 99,854.56

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Solution

The fourth proportional to 286,843.06, 430,460.61 and 99,854.56 is: 149,850.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,843.06 : 430,460.61 = 99,854.56 : x
  2. Step 2: Convert to fraction form
    286,843.06/430,460.61 = 99,854.56/x
  3. Step 3: Cross multiply
    286,843.06x = 430,460.61 × 99,854.56
  4. Step 4: Simplify right side
    286,843.06x = 42,983,454,808.88
  5. Step 5: Solve for x
    x = 42,983,454,808.88/286,843.06
  6. Step 6: Final answer
    x = 149,850.08

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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.