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Finding the Fourth Proportional to 411,424.56, 567,820.44 and 230,205.96

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Solution

The fourth proportional to 411,424.56, 567,820.44 and 230,205.96 is: 317,714.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,424.56 : 567,820.44 = 230,205.96 : x
  2. Step 2: Convert to fraction form
    411,424.56/567,820.44 = 230,205.96/x
  3. Step 3: Cross multiply
    411,424.56x = 567,820.44 × 230,205.96
  4. Step 4: Simplify right side
    411,424.56x = 130,715,649,497.82
  5. Step 5: Solve for x
    x = 130,715,649,497.82/411,424.56
  6. Step 6: Final answer
    x = 317,714.75

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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.