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Finding the Fourth Proportional to 967,013, 1,450,517.92 and 257,041.06

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Solution

The fourth proportional to 967,013, 1,450,517.92 and 257,041.06 is: 385,561.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,013 : 1,450,517.92 = 257,041.06 : x
  2. Step 2: Convert to fraction form
    967,013/1,450,517.92 = 257,041.06/x
  3. Step 3: Cross multiply
    967,013x = 1,450,517.92 × 257,041.06
  4. Step 4: Simplify right side
    967,013x = 372,842,663,705.80
  5. Step 5: Solve for x
    x = 372,842,663,705.80/967,013
  6. Step 6: Final answer
    x = 385,561.17

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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.