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Finding the Fourth Proportional to 415,482.83, 622,732.17 and 190,653.76

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Solution

The fourth proportional to 415,482.83, 622,732.17 and 190,653.76 is: 285,754.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,482.83 : 622,732.17 = 190,653.76 : x
  2. Step 2: Convert to fraction form
    415,482.83/622,732.17 = 190,653.76/x
  3. Step 3: Cross multiply
    415,482.83x = 622,732.17 × 190,653.76
  4. Step 4: Simplify right side
    415,482.83x = 118,726,228,730.19
  5. Step 5: Solve for x
    x = 118,726,228,730.19/415,482.83
  6. Step 6: Final answer
    x = 285,754.84

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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.