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Finding the Fourth Proportional to 542,296.77, 748,414.35 and 300,655.14

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Solution

The fourth proportional to 542,296.77, 748,414.35 and 300,655.14 is: 414,928.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,296.77 : 748,414.35 = 300,655.14 : x
  2. Step 2: Convert to fraction form
    542,296.77/748,414.35 = 300,655.14/x
  3. Step 3: Cross multiply
    542,296.77x = 748,414.35 × 300,655.14
  4. Step 4: Simplify right side
    542,296.77x = 225,014,621,177.26
  5. Step 5: Solve for x
    x = 225,014,621,177.26/542,296.77
  6. Step 6: Final answer
    x = 414,928.93

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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.