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Finding the Fourth Proportional to 318,205.36, 476,663.34 and 147,184

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Solution

The fourth proportional to 318,205.36, 476,663.34 and 147,184 is: 220,477.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,205.36 : 476,663.34 = 147,184 : x
  2. Step 2: Convert to fraction form
    318,205.36/476,663.34 = 147,184/x
  3. Step 3: Cross multiply
    318,205.36x = 476,663.34 × 147,184
  4. Step 4: Simplify right side
    318,205.36x = 70,157,217,034.56
  5. Step 5: Solve for x
    x = 70,157,217,034.56/318,205.36
  6. Step 6: Final answer
    x = 220,477.80

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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.