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Finding the Fourth Proportional to 469,558.17, 647,985.67 and 254,695.14

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Solution

The fourth proportional to 469,558.17, 647,985.67 and 254,695.14 is: 351,476.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,558.17 : 647,985.67 = 254,695.14 : x
  2. Step 2: Convert to fraction form
    469,558.17/647,985.67 = 254,695.14/x
  3. Step 3: Cross multiply
    469,558.17x = 647,985.67 × 254,695.14
  4. Step 4: Simplify right side
    469,558.17x = 165,038,800,938.64
  5. Step 5: Solve for x
    x = 165,038,800,938.64/469,558.17
  6. Step 6: Final answer
    x = 351,476.80

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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.