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Finding the Fourth Proportional to 334,046.80, 501,021.60 and 97,364.80

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Solution

The fourth proportional to 334,046.80, 501,021.60 and 97,364.80 is: 146,033.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,046.80 : 501,021.60 = 97,364.80 : x
  2. Step 2: Convert to fraction form
    334,046.80/501,021.60 = 97,364.80/x
  3. Step 3: Cross multiply
    334,046.80x = 501,021.60 × 97,364.80
  4. Step 4: Simplify right side
    334,046.80x = 48,781,867,879.68
  5. Step 5: Solve for x
    x = 48,781,867,879.68/334,046.80
  6. Step 6: Final answer
    x = 146,033.03

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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.