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Finding the Fourth Proportional to 471,164.86, 650,209.44 and 256,306.15

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Solution

The fourth proportional to 471,164.86, 650,209.44 and 256,306.15 is: 353,703.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,164.86 : 650,209.44 = 256,306.15 : x
  2. Step 2: Convert to fraction form
    471,164.86/650,209.44 = 256,306.15/x
  3. Step 3: Cross multiply
    471,164.86x = 650,209.44 × 256,306.15
  4. Step 4: Simplify right side
    471,164.86x = 166,652,678,260.06
  5. Step 5: Solve for x
    x = 166,652,678,260.06/471,164.86
  6. Step 6: Final answer
    x = 353,703.54

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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.