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Finding the Fourth Proportional to 333,977.80, 501,138.93 and 156,502.75

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Solution

The fourth proportional to 333,977.80, 501,138.93 and 156,502.75 is: 234,834.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,977.80 : 501,138.93 = 156,502.75 : x
  2. Step 2: Convert to fraction form
    333,977.80/501,138.93 = 156,502.75/x
  3. Step 3: Cross multiply
    333,977.80x = 501,138.93 × 156,502.75
  4. Step 4: Simplify right side
    333,977.80x = 78,429,620,677.06
  5. Step 5: Solve for x
    x = 78,429,620,677.06/333,977.80
  6. Step 6: Final answer
    x = 234,834.83

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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.