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Finding the Fourth Proportional to 459,097.83, 688,537.35 and 192,863.52

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Solution

The fourth proportional to 459,097.83, 688,537.35 and 192,863.52 is: 289,249.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,097.83 : 688,537.35 = 192,863.52 : x
  2. Step 2: Convert to fraction form
    459,097.83/688,537.35 = 192,863.52/x
  3. Step 3: Cross multiply
    459,097.83x = 688,537.35 × 192,863.52
  4. Step 4: Simplify right side
    459,097.83x = 132,793,736,972.47
  5. Step 5: Solve for x
    x = 132,793,736,972.47/459,097.83
  6. Step 6: Final answer
    x = 289,249.32

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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.