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Finding the Fourth Proportional to 967,753, 1,335,499.14 and 543,817

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Solution

The fourth proportional to 967,753, 1,335,499.14 and 543,817 is: 750,467.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,753 : 1,335,499.14 = 543,817 : x
  2. Step 2: Convert to fraction form
    967,753/1,335,499.14 = 543,817/x
  3. Step 3: Cross multiply
    967,753x = 1,335,499.14 × 543,817
  4. Step 4: Simplify right side
    967,753x = 726,267,135,817.38
  5. Step 5: Solve for x
    x = 726,267,135,817.38/967,753
  6. Step 6: Final answer
    x = 750,467.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.