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Finding the Fourth Proportional to 334,141.20, 501,233.64 and 97,464

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Solution

The fourth proportional to 334,141.20, 501,233.64 and 97,464 is: 146,202.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,141.20 : 501,233.64 = 97,464 : x
  2. Step 2: Convert to fraction form
    334,141.20/501,233.64 = 97,464/x
  3. Step 3: Cross multiply
    334,141.20x = 501,233.64 × 97,464
  4. Step 4: Simplify right side
    334,141.20x = 48,852,235,488.96
  5. Step 5: Solve for x
    x = 48,852,235,488.96/334,141.20
  6. Step 6: Final answer
    x = 146,202.37

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