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Finding the Fourth Proportional to 512,208.82, 706,853.94 and 282,766.24

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Solution

The fourth proportional to 512,208.82, 706,853.94 and 282,766.24 is: 390,220.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,208.82 : 706,853.94 = 282,766.24 : x
  2. Step 2: Convert to fraction form
    512,208.82/706,853.94 = 282,766.24/x
  3. Step 3: Cross multiply
    512,208.82x = 706,853.94 × 282,766.24
  4. Step 4: Simplify right side
    512,208.82x = 199,874,432,256.74
  5. Step 5: Solve for x
    x = 199,874,432,256.74/512,208.82
  6. Step 6: Final answer
    x = 390,220.60

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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.