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Finding the Fourth Proportional to 338,287.28, 507,597.64 and 158,384.86

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Solution

The fourth proportional to 338,287.28, 507,597.64 and 158,384.86 is: 237,655.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,287.28 : 507,597.64 = 158,384.86 : x
  2. Step 2: Convert to fraction form
    338,287.28/507,597.64 = 158,384.86/x
  3. Step 3: Cross multiply
    338,287.28x = 507,597.64 × 158,384.86
  4. Step 4: Simplify right side
    338,287.28x = 80,395,781,147.73
  5. Step 5: Solve for x
    x = 80,395,781,147.73/338,287.28
  6. Step 6: Final answer
    x = 237,655.35

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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.