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Finding the Fourth Proportional to 542,083.86, 748,075 and 300,382.09

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Solution

The fourth proportional to 542,083.86, 748,075 and 300,382.09 is: 414,526.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,083.86 : 748,075 = 300,382.09 : x
  2. Step 2: Convert to fraction form
    542,083.86/748,075 = 300,382.09/x
  3. Step 3: Cross multiply
    542,083.86x = 748,075 × 300,382.09
  4. Step 4: Simplify right side
    542,083.86x = 224,708,331,976.75
  5. Step 5: Solve for x
    x = 224,708,331,976.75/542,083.86
  6. Step 6: Final answer
    x = 414,526.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.