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Finding the Fourth Proportional to 471,193.56, 650,248.02 and 256,334.58

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Solution

The fourth proportional to 471,193.56, 650,248.02 and 256,334.58 is: 353,742.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,193.56 : 650,248.02 = 256,334.58 : x
  2. Step 2: Convert to fraction form
    471,193.56/650,248.02 = 256,334.58/x
  3. Step 3: Cross multiply
    471,193.56x = 650,248.02 × 256,334.58
  4. Step 4: Simplify right side
    471,193.56x = 166,681,053,102.53
  5. Step 5: Solve for x
    x = 166,681,053,102.53/471,193.56
  6. Step 6: Final answer
    x = 353,742.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.