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Finding the Fourth Proportional to 401,834.04, 602,751 and 313,153.92

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Solution

The fourth proportional to 401,834.04, 602,751 and 313,153.92 is: 469,730.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,834.04 : 602,751 = 313,153.92 : x
  2. Step 2: Convert to fraction form
    401,834.04/602,751 = 313,153.92/x
  3. Step 3: Cross multiply
    401,834.04x = 602,751 × 313,153.92
  4. Step 4: Simplify right side
    401,834.04x = 188,753,838,433.92
  5. Step 5: Solve for x
    x = 188,753,838,433.92/401,834.04
  6. Step 6: Final answer
    x = 469,730.83

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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.