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Finding the Fourth Proportional to 471,719.26, 650,972.10 and 256,860.82

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Solution

The fourth proportional to 471,719.26, 650,972.10 and 256,860.82 is: 354,467.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,719.26 : 650,972.10 = 256,860.82 : x
  2. Step 2: Convert to fraction form
    471,719.26/650,972.10 = 256,860.82/x
  3. Step 3: Cross multiply
    471,719.26x = 650,972.10 × 256,860.82
  4. Step 4: Simplify right side
    471,719.26x = 167,209,227,403.12
  5. Step 5: Solve for x
    x = 167,209,227,403.12/471,719.26
  6. Step 6: Final answer
    x = 354,467.67

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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.