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Finding the Fourth Proportional to 512,179.40, 706,846.74 and 282,780.92

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Solution

The fourth proportional to 512,179.40, 706,846.74 and 282,780.92 is: 390,259.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,179.40 : 706,846.74 = 282,780.92 : x
  2. Step 2: Convert to fraction form
    512,179.40/706,846.74 = 282,780.92/x
  3. Step 3: Cross multiply
    512,179.40x = 706,846.74 × 282,780.92
  4. Step 4: Simplify right side
    512,179.40x = 199,882,771,436.20
  5. Step 5: Solve for x
    x = 199,882,771,436.20/512,179.40
  6. Step 6: Final answer
    x = 390,259.29

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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.