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Finding the Fourth Proportional to 780,017, 1,170,025.50 and 189,041

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Solution

The fourth proportional to 780,017, 1,170,025.50 and 189,041 is: 283,561.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,017 : 1,170,025.50 = 189,041 : x
  2. Step 2: Convert to fraction form
    780,017/1,170,025.50 = 189,041/x
  3. Step 3: Cross multiply
    780,017x = 1,170,025.50 × 189,041
  4. Step 4: Simplify right side
    780,017x = 221,182,790,545.50
  5. Step 5: Solve for x
    x = 221,182,790,545.50/780,017
  6. Step 6: Final answer
    x = 283,561.50

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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.