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Finding the Fourth Proportional to 233,483.80, 349,707.30 and 202,379.80

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Solution

The fourth proportional to 233,483.80, 349,707.30 and 202,379.80 is: 303,120.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,483.80 : 349,707.30 = 202,379.80 : x
  2. Step 2: Convert to fraction form
    233,483.80/349,707.30 = 202,379.80/x
  3. Step 3: Cross multiply
    233,483.80x = 349,707.30 × 202,379.80
  4. Step 4: Simplify right side
    233,483.80x = 70,773,693,432.54
  5. Step 5: Solve for x
    x = 70,773,693,432.54/233,483.80
  6. Step 6: Final answer
    x = 303,120.36

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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.