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Finding the Fourth Proportional to 469,073.16, 647,319.33 and 254,218.50

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Solution

The fourth proportional to 469,073.16, 647,319.33 and 254,218.50 is: 350,820.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,073.16 : 647,319.33 = 254,218.50 : x
  2. Step 2: Convert to fraction form
    469,073.16/647,319.33 = 254,218.50/x
  3. Step 3: Cross multiply
    469,073.16x = 647,319.33 × 254,218.50
  4. Step 4: Simplify right side
    469,073.16x = 164,560,549,093.61
  5. Step 5: Solve for x
    x = 164,560,549,093.61/469,073.16
  6. Step 6: Final answer
    x = 350,820.65

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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.