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Finding the Fourth Proportional to 552,000.46, 828,000.70 and 178,023.46

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Solution

The fourth proportional to 552,000.46, 828,000.70 and 178,023.46 is: 267,035.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,000.46 : 828,000.70 = 178,023.46 : x
  2. Step 2: Convert to fraction form
    552,000.46/828,000.70 = 178,023.46/x
  3. Step 3: Cross multiply
    552,000.46x = 828,000.70 × 178,023.46
  4. Step 4: Simplify right side
    552,000.46x = 147,403,549,496.42
  5. Step 5: Solve for x
    x = 147,403,549,496.42/552,000.46
  6. Step 6: Final answer
    x = 267,035.19

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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.