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Finding the Fourth Proportional to 619,284, 929,082.12 and 176,052

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Solution

The fourth proportional to 619,284, 929,082.12 and 176,052 is: 264,122.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,284 : 929,082.12 = 176,052 : x
  2. Step 2: Convert to fraction form
    619,284/929,082.12 = 176,052/x
  3. Step 3: Cross multiply
    619,284x = 929,082.12 × 176,052
  4. Step 4: Simplify right side
    619,284x = 163,566,765,390.24
  5. Step 5: Solve for x
    x = 163,566,765,390.24/619,284
  6. Step 6: Final answer
    x = 264,122.38

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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.