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Finding the Fourth Proportional to 471,561.49, 650,754.90 and 256,703.14

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Solution

The fourth proportional to 471,561.49, 650,754.90 and 256,703.14 is: 354,250.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,561.49 : 650,754.90 = 256,703.14 : x
  2. Step 2: Convert to fraction form
    471,561.49/650,754.90 = 256,703.14/x
  3. Step 3: Cross multiply
    471,561.49x = 650,754.90 × 256,703.14
  4. Step 4: Simplify right side
    471,561.49x = 167,050,826,200.39
  5. Step 5: Solve for x
    x = 167,050,826,200.39/471,561.49
  6. Step 6: Final answer
    x = 354,250.36

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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.