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Finding the Fourth Proportional to 542,137.42, 748,154.03 and 300,424

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Solution

The fourth proportional to 542,137.42, 748,154.03 and 300,424 is: 414,587.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,137.42 : 748,154.03 = 300,424 : x
  2. Step 2: Convert to fraction form
    542,137.42/748,154.03 = 300,424/x
  3. Step 3: Cross multiply
    542,137.42x = 748,154.03 × 300,424
  4. Step 4: Simplify right side
    542,137.42x = 224,763,426,308.72
  5. Step 5: Solve for x
    x = 224,763,426,308.72/542,137.42
  6. Step 6: Final answer
    x = 414,587.55

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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.