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Finding the Fourth Proportional to 233,285.80, 349,410.30 and 191,813.80

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Solution

The fourth proportional to 233,285.80, 349,410.30 and 191,813.80 is: 287,294.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,285.80 : 349,410.30 = 191,813.80 : x
  2. Step 2: Convert to fraction form
    233,285.80/349,410.30 = 191,813.80/x
  3. Step 3: Cross multiply
    233,285.80x = 349,410.30 × 191,813.80
  4. Step 4: Simplify right side
    233,285.80x = 67,021,717,402.14
  5. Step 5: Solve for x
    x = 67,021,717,402.14/233,285.80
  6. Step 6: Final answer
    x = 287,294.46

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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.