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Finding the Fourth Proportional to 338,283.27, 507,591.63 and 158,380.86

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Solution

The fourth proportional to 338,283.27, 507,591.63 and 158,380.86 is: 237,649.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,283.27 : 507,591.63 = 158,380.86 : x
  2. Step 2: Convert to fraction form
    338,283.27/507,591.63 = 158,380.86/x
  3. Step 3: Cross multiply
    338,283.27x = 507,591.63 × 158,380.86
  4. Step 4: Simplify right side
    338,283.27x = 80,392,798,888.20
  5. Step 5: Solve for x
    x = 80,392,798,888.20/338,283.27
  6. Step 6: Final answer
    x = 237,649.35

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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.