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Finding the Fourth Proportional to 461,339.52, 691,929.50 and 208,561.24

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Solution

The fourth proportional to 461,339.52, 691,929.50 and 208,561.24 is: 312,805.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,339.52 : 691,929.50 = 208,561.24 : x
  2. Step 2: Convert to fraction form
    461,339.52/691,929.50 = 208,561.24/x
  3. Step 3: Cross multiply
    461,339.52x = 691,929.50 × 208,561.24
  4. Step 4: Simplify right side
    461,339.52x = 144,309,674,512.58
  5. Step 5: Solve for x
    x = 144,309,674,512.58/461,339.52
  6. Step 6: Final answer
    x = 312,805.79

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