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Finding the Fourth Proportional to 471,217.16, 650,264.88 and 256,351.76

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Solution

The fourth proportional to 471,217.16, 650,264.88 and 256,351.76 is: 353,757.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,217.16 : 650,264.88 = 256,351.76 : x
  2. Step 2: Convert to fraction form
    471,217.16/650,264.88 = 256,351.76/x
  3. Step 3: Cross multiply
    471,217.16x = 650,264.88 × 256,351.76
  4. Step 4: Simplify right side
    471,217.16x = 166,696,546,454.19
  5. Step 5: Solve for x
    x = 166,696,546,454.19/471,217.16
  6. Step 6: Final answer
    x = 353,757.38

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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.