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Finding the Fourth Proportional to 471,077.55, 650,088.72 and 256,217.85

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Solution

The fourth proportional to 471,077.55, 650,088.72 and 256,217.85 is: 353,581.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,077.55 : 650,088.72 = 256,217.85 : x
  2. Step 2: Convert to fraction form
    471,077.55/650,088.72 = 256,217.85/x
  3. Step 3: Cross multiply
    471,077.55x = 650,088.72 × 256,217.85
  4. Step 4: Simplify right side
    471,077.55x = 166,564,334,147.65
  5. Step 5: Solve for x
    x = 166,564,334,147.65/471,077.55
  6. Step 6: Final answer
    x = 353,581.56

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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.