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Finding the Fourth Proportional to 512,980.69, 769,553.75 and 157,994.59

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Solution

The fourth proportional to 512,980.69, 769,553.75 and 157,994.59 is: 237,017.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,980.69 : 769,553.75 = 157,994.59 : x
  2. Step 2: Convert to fraction form
    512,980.69/769,553.75 = 157,994.59/x
  3. Step 3: Cross multiply
    512,980.69x = 769,553.75 × 157,994.59
  4. Step 4: Simplify right side
    512,980.69x = 121,585,329,214.21
  5. Step 5: Solve for x
    x = 121,585,329,214.21/512,980.69
  6. Step 6: Final answer
    x = 237,017.36

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1.5x scale

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.