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Finding the Fourth Proportional to 334,174.83, 501,253.91 and 97,519.56

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Solution

The fourth proportional to 334,174.83, 501,253.91 and 97,519.56 is: 146,276.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,174.83 : 501,253.91 = 97,519.56 : x
  2. Step 2: Convert to fraction form
    334,174.83/501,253.91 = 97,519.56/x
  3. Step 3: Cross multiply
    334,174.83x = 501,253.91 × 97,519.56
  4. Step 4: Simplify right side
    334,174.83x = 48,882,060,751.48
  5. Step 5: Solve for x
    x = 48,882,060,751.48/334,174.83
  6. Step 6: Final answer
    x = 146,276.91

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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.