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Finding the Fourth Proportional to 312,404.27, 468,607.91 and 75,746.93

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Solution

The fourth proportional to 312,404.27, 468,607.91 and 75,746.93 is: 113,620.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,404.27 : 468,607.91 = 75,746.93 : x
  2. Step 2: Convert to fraction form
    312,404.27/468,607.91 = 75,746.93/x
  3. Step 3: Cross multiply
    312,404.27x = 468,607.91 × 75,746.93
  4. Step 4: Simplify right side
    312,404.27x = 35,495,607,834.44
  5. Step 5: Solve for x
    x = 35,495,607,834.44/312,404.27
  6. Step 6: Final answer
    x = 113,620.75

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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.