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Finding the Fourth Proportional to 633,742.96, 950,720.16 and 234,384.64

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Solution

The fourth proportional to 633,742.96, 950,720.16 and 234,384.64 is: 351,616.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,742.96 : 950,720.16 = 234,384.64 : x
  2. Step 2: Convert to fraction form
    633,742.96/950,720.16 = 234,384.64/x
  3. Step 3: Cross multiply
    633,742.96x = 950,720.16 × 234,384.64
  4. Step 4: Simplify right side
    633,742.96x = 222,834,202,442.34
  5. Step 5: Solve for x
    x = 222,834,202,442.34/633,742.96
  6. Step 6: Final answer
    x = 351,616.06

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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.