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Finding the Fourth Proportional to 471,697.25, 650,953.89 and 256,849.08

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Solution

The fourth proportional to 471,697.25, 650,953.89 and 256,849.08 is: 354,458.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,697.25 : 650,953.89 = 256,849.08 : x
  2. Step 2: Convert to fraction form
    471,697.25/650,953.89 = 256,849.08/x
  3. Step 3: Cross multiply
    471,697.25x = 650,953.89 × 256,849.08
  4. Step 4: Simplify right side
    471,697.25x = 167,196,907,768.92
  5. Step 5: Solve for x
    x = 167,196,907,768.92/471,697.25
  6. Step 6: Final answer
    x = 354,458.10

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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.