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Finding the Fourth Proportional to 469,657.23, 648,127.21 and 254,797.24

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Solution

The fourth proportional to 469,657.23, 648,127.21 and 254,797.24 is: 351,620.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,657.23 : 648,127.21 = 254,797.24 : x
  2. Step 2: Convert to fraction form
    469,657.23/648,127.21 = 254,797.24/x
  3. Step 3: Cross multiply
    469,657.23x = 648,127.21 × 254,797.24
  4. Step 4: Simplify right side
    469,657.23x = 165,141,024,276.90
  5. Step 5: Solve for x
    x = 165,141,024,276.90/469,657.23
  6. Step 6: Final answer
    x = 351,620.32

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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.