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Finding the Fourth Proportional to 542,561, 748,743.18 and 300,853.76

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Solution

The fourth proportional to 542,561, 748,743.18 and 300,853.76 is: 415,183.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,561 : 748,743.18 = 300,853.76 : x
  2. Step 2: Convert to fraction form
    542,561/748,743.18 = 300,853.76/x
  3. Step 3: Cross multiply
    542,561x = 748,743.18 × 300,853.76
  4. Step 4: Simplify right side
    542,561x = 225,262,200,977.36
  5. Step 5: Solve for x
    x = 225,262,200,977.36/542,561
  6. Step 6: Final answer
    x = 415,183.18

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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.