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Finding the Fourth Proportional to 388,098.74, 535,399.26 and 280,498.34

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Solution

The fourth proportional to 388,098.74, 535,399.26 and 280,498.34 is: 386,959.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,098.74 : 535,399.26 = 280,498.34 : x
  2. Step 2: Convert to fraction form
    388,098.74/535,399.26 = 280,498.34/x
  3. Step 3: Cross multiply
    388,098.74x = 535,399.26 × 280,498.34
  4. Step 4: Simplify right side
    388,098.74x = 150,178,603,667.23
  5. Step 5: Solve for x
    x = 150,178,603,667.23/388,098.74
  6. Step 6: Final answer
    x = 386,959.78

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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.