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Finding the Fourth Proportional to 334,620.88, 501,931.31 and 97,963.56

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Solution

The fourth proportional to 334,620.88, 501,931.31 and 97,963.56 is: 146,945.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,620.88 : 501,931.31 = 97,963.56 : x
  2. Step 2: Convert to fraction form
    334,620.88/501,931.31 = 97,963.56/x
  3. Step 3: Cross multiply
    334,620.88x = 501,931.31 × 97,963.56
  4. Step 4: Simplify right side
    334,620.88x = 49,170,977,513.25
  5. Step 5: Solve for x
    x = 49,170,977,513.25/334,620.88
  6. Step 6: Final answer
    x = 146,945.34

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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.