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Finding the Fourth Proportional to 552,597, 828,895.50 and 178,620

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Solution

The fourth proportional to 552,597, 828,895.50 and 178,620 is: 267,930

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,597 : 828,895.50 = 178,620 : x
  2. Step 2: Convert to fraction form
    552,597/828,895.50 = 178,620/x
  3. Step 3: Cross multiply
    552,597x = 828,895.50 × 178,620
  4. Step 4: Simplify right side
    552,597x = 148,057,314,210
  5. Step 5: Solve for x
    x = 148,057,314,210/552,597
  6. Step 6: Final answer
    x = 267,930

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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.