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Finding the Fourth Proportional to 468,948.02, 647,139.74 and 264,994.52

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Solution

The fourth proportional to 468,948.02, 647,139.74 and 264,994.52 is: 365,687.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,948.02 : 647,139.74 = 264,994.52 : x
  2. Step 2: Convert to fraction form
    468,948.02/647,139.74 = 264,994.52/x
  3. Step 3: Cross multiply
    468,948.02x = 647,139.74 × 264,994.52
  4. Step 4: Simplify right side
    468,948.02x = 171,488,480,213.55
  5. Step 5: Solve for x
    x = 171,488,480,213.55/468,948.02
  6. Step 6: Final answer
    x = 365,687.61

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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.