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Finding the Fourth Proportional to 705,198.69, 973,164.15 and 399,267.14

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Solution

The fourth proportional to 705,198.69, 973,164.15 and 399,267.14 is: 550,982.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,198.69 : 973,164.15 = 399,267.14 : x
  2. Step 2: Convert to fraction form
    705,198.69/973,164.15 = 399,267.14/x
  3. Step 3: Cross multiply
    705,198.69x = 973,164.15 × 399,267.14
  4. Step 4: Simplify right side
    705,198.69x = 388,552,462,055.21
  5. Step 5: Solve for x
    x = 388,552,462,055.21/705,198.69
  6. Step 6: Final answer
    x = 550,982.96

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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.