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Finding the Fourth Proportional to 497,717.80, 746,103.72 and 317,296.78

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Solution

The fourth proportional to 497,717.80, 746,103.72 and 317,296.78 is: 475,643.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,717.80 : 746,103.72 = 317,296.78 : x
  2. Step 2: Convert to fraction form
    497,717.80/746,103.72 = 317,296.78/x
  3. Step 3: Cross multiply
    497,717.80x = 746,103.72 × 317,296.78
  4. Step 4: Simplify right side
    497,717.80x = 236,736,307,226.63
  5. Step 5: Solve for x
    x = 236,736,307,226.63/497,717.80
  6. Step 6: Final answer
    x = 475,643.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.