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Finding the Fourth Proportional to 427,807.35, 590,374.31 and 234,227.60

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Solution

The fourth proportional to 427,807.35, 590,374.31 and 234,227.60 is: 323,234.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,807.35 : 590,374.31 = 234,227.60 : x
  2. Step 2: Convert to fraction form
    427,807.35/590,374.31 = 234,227.60/x
  3. Step 3: Cross multiply
    427,807.35x = 590,374.31 × 234,227.60
  4. Step 4: Simplify right side
    427,807.35x = 138,281,959,794.46
  5. Step 5: Solve for x
    x = 138,281,959,794.46/427,807.35
  6. Step 6: Final answer
    x = 323,234.18

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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.