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Finding the Fourth Proportional to 334,379.52, 501,616.32 and 97,740

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Solution

The fourth proportional to 334,379.52, 501,616.32 and 97,740 is: 146,623.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,379.52 : 501,616.32 = 97,740 : x
  2. Step 2: Convert to fraction form
    334,379.52/501,616.32 = 97,740/x
  3. Step 3: Cross multiply
    334,379.52x = 501,616.32 × 97,740
  4. Step 4: Simplify right side
    334,379.52x = 49,027,979,116.80
  5. Step 5: Solve for x
    x = 49,027,979,116.80/334,379.52
  6. Step 6: Final answer
    x = 146,623.75

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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.