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Finding the Fourth Proportional to 317,714.52, 476,431.83 and 149,282.76

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Solution

The fourth proportional to 317,714.52, 476,431.83 and 149,282.76 is: 223,858.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,714.52 : 476,431.83 = 149,282.76 : x
  2. Step 2: Convert to fraction form
    317,714.52/476,431.83 = 149,282.76/x
  3. Step 3: Cross multiply
    317,714.52x = 476,431.83 × 149,282.76
  4. Step 4: Simplify right side
    317,714.52x = 71,123,058,534.25
  5. Step 5: Solve for x
    x = 71,123,058,534.25/317,714.52
  6. Step 6: Final answer
    x = 223,858.38

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1.5x scale

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.