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Finding the Fourth Proportional to 512,203.28, 706,843.16 and 282,756.48

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Solution

The fourth proportional to 512,203.28, 706,843.16 and 282,756.48 is: 390,205.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,203.28 : 706,843.16 = 282,756.48 : x
  2. Step 2: Convert to fraction form
    512,203.28/706,843.16 = 282,756.48/x
  3. Step 3: Cross multiply
    512,203.28x = 706,843.16 × 282,756.48
  4. Step 4: Simplify right side
    512,203.28x = 199,864,483,833.68
  5. Step 5: Solve for x
    x = 199,864,483,833.68/512,203.28
  6. Step 6: Final answer
    x = 390,205.40

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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.