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Finding the Fourth Proportional to 334,535.50, 501,704.84 and 97,821.91

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Solution

The fourth proportional to 334,535.50, 501,704.84 and 97,821.91 is: 146,704.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,535.50 : 501,704.84 = 97,821.91 : x
  2. Step 2: Convert to fraction form
    334,535.50/501,704.84 = 97,821.91/x
  3. Step 3: Cross multiply
    334,535.50x = 501,704.84 × 97,821.91
  4. Step 4: Simplify right side
    334,535.50x = 49,077,725,215.93
  5. Step 5: Solve for x
    x = 49,077,725,215.93/334,535.50
  6. Step 6: Final answer
    x = 146,704.09

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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.