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Finding the Fourth Proportional to 512,233.88, 706,832.19 and 282,776.27

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Solution

The fourth proportional to 512,233.88, 706,832.19 and 282,776.27 is: 390,203.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,233.88 : 706,832.19 = 282,776.27 : x
  2. Step 2: Convert to fraction form
    512,233.88/706,832.19 = 282,776.27/x
  3. Step 3: Cross multiply
    512,233.88x = 706,832.19 × 282,776.27
  4. Step 4: Simplify right side
    512,233.88x = 199,875,366,669.97
  5. Step 5: Solve for x
    x = 199,875,366,669.97/512,233.88
  6. Step 6: Final answer
    x = 390,203.34

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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.