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Finding the Fourth Proportional to 780,033, 1,170,049.56 and 189,057

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Solution

The fourth proportional to 780,033, 1,170,049.56 and 189,057 is: 283,585.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,033 : 1,170,049.56 = 189,057 : x
  2. Step 2: Convert to fraction form
    780,033/1,170,049.56 = 189,057/x
  3. Step 3: Cross multiply
    780,033x = 1,170,049.56 × 189,057
  4. Step 4: Simplify right side
    780,033x = 221,206,059,664.92
  5. Step 5: Solve for x
    x = 221,206,059,664.92/780,033
  6. Step 6: Final answer
    x = 283,585.51

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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.