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Finding the Fourth Proportional to 469,018.44, 647,242.92 and 254,152.98

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Solution

The fourth proportional to 469,018.44, 647,242.92 and 254,152.98 is: 350,729.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,018.44 : 647,242.92 = 254,152.98 : x
  2. Step 2: Convert to fraction form
    469,018.44/647,242.92 = 254,152.98/x
  3. Step 3: Cross multiply
    469,018.44x = 647,242.92 × 254,152.98
  4. Step 4: Simplify right side
    469,018.44x = 164,498,716,901.90
  5. Step 5: Solve for x
    x = 164,498,716,901.90/469,018.44
  6. Step 6: Final answer
    x = 350,729.74

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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.