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Finding the Fourth Proportional to 654,297.10, 980,716.65 and 254,805.10

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Solution

The fourth proportional to 654,297.10, 980,716.65 and 254,805.10 is: 381,923.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,297.10 : 980,716.65 = 254,805.10 : x
  2. Step 2: Convert to fraction form
    654,297.10/980,716.65 = 254,805.10/x
  3. Step 3: Cross multiply
    654,297.10x = 980,716.65 × 254,805.10
  4. Step 4: Simplify right side
    654,297.10x = 249,891,604,074.92
  5. Step 5: Solve for x
    x = 249,891,604,074.92/654,297.10
  6. Step 6: Final answer
    x = 381,923.75

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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.