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Finding the Fourth Proportional to 502,894.20, 755,216.10 and 266,698.20

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Solution

The fourth proportional to 502,894.20, 755,216.10 and 266,698.20 is: 400,511.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,894.20 : 755,216.10 = 266,698.20 : x
  2. Step 2: Convert to fraction form
    502,894.20/755,216.10 = 266,698.20/x
  3. Step 3: Cross multiply
    502,894.20x = 755,216.10 × 266,698.20
  4. Step 4: Simplify right side
    502,894.20x = 201,414,774,481.02
  5. Step 5: Solve for x
    x = 201,414,774,481.02/502,894.20
  6. Step 6: Final answer
    x = 400,511.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.