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Finding the Fourth Proportional to 512,976.69, 769,547.75 and 157,990.59

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Solution

The fourth proportional to 512,976.69, 769,547.75 and 157,990.59 is: 237,011.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,976.69 : 769,547.75 = 157,990.59 : x
  2. Step 2: Convert to fraction form
    512,976.69/769,547.75 = 157,990.59/x
  3. Step 3: Cross multiply
    512,976.69x = 769,547.75 × 157,990.59
  4. Step 4: Simplify right side
    512,976.69x = 121,581,302,265.72
  5. Step 5: Solve for x
    x = 121,581,302,265.72/512,976.69
  6. Step 6: Final answer
    x = 237,011.36

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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.