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Finding the Fourth Proportional to 283,324.40, 426,023.40 and 237,705.20

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Solution

The fourth proportional to 283,324.40, 426,023.40 and 237,705.20 is: 357,427.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,324.40 : 426,023.40 = 237,705.20 : x
  2. Step 2: Convert to fraction form
    283,324.40/426,023.40 = 237,705.20/x
  3. Step 3: Cross multiply
    283,324.40x = 426,023.40 × 237,705.20
  4. Step 4: Simplify right side
    283,324.40x = 101,267,977,501.68
  5. Step 5: Solve for x
    x = 101,267,977,501.68/283,324.40
  6. Step 6: Final answer
    x = 357,427.66

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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.