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Finding the Fourth Proportional to 471,538.24, 650,696.28 and 256,665.49

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Solution

The fourth proportional to 471,538.24, 650,696.28 and 256,665.49 is: 354,183.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,538.24 : 650,696.28 = 256,665.49 : x
  2. Step 2: Convert to fraction form
    471,538.24/650,696.28 = 256,665.49/x
  3. Step 3: Cross multiply
    471,538.24x = 650,696.28 × 256,665.49
  4. Step 4: Simplify right side
    471,538.24x = 167,011,279,547.38
  5. Step 5: Solve for x
    x = 167,011,279,547.38/471,538.24
  6. Step 6: Final answer
    x = 354,183.96

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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.