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Finding the Fourth Proportional to 552,221.48, 828,419.88 and 178,157

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Solution

The fourth proportional to 552,221.48, 828,419.88 and 178,157 is: 267,263.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,221.48 : 828,419.88 = 178,157 : x
  2. Step 2: Convert to fraction form
    552,221.48/828,419.88 = 178,157/x
  3. Step 3: Cross multiply
    552,221.48x = 828,419.88 × 178,157
  4. Step 4: Simplify right side
    552,221.48x = 147,588,800,561.16
  5. Step 5: Solve for x
    x = 147,588,800,561.16/552,221.48
  6. Step 6: Final answer
    x = 267,263.78

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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.