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Finding the Fourth Proportional to 469,773.88, 648,292.64 and 254,915.76

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Solution

The fourth proportional to 469,773.88, 648,292.64 and 254,915.76 is: 351,786.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,773.88 : 648,292.64 = 254,915.76 : x
  2. Step 2: Convert to fraction form
    469,773.88/648,292.64 = 254,915.76/x
  3. Step 3: Cross multiply
    469,773.88x = 648,292.64 × 254,915.76
  4. Step 4: Simplify right side
    469,773.88x = 165,260,011,028.01
  5. Step 5: Solve for x
    x = 165,260,011,028.01/469,773.88
  6. Step 6: Final answer
    x = 351,786.29

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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.