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Finding the Fourth Proportional to 683,838.62, 1,024,841 and 532,218.77

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Solution

The fourth proportional to 683,838.62, 1,024,841 and 532,218.77 is: 797,614.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,838.62 : 1,024,841 = 532,218.77 : x
  2. Step 2: Convert to fraction form
    683,838.62/1,024,841 = 532,218.77/x
  3. Step 3: Cross multiply
    683,838.62x = 1,024,841 × 532,218.77
  4. Step 4: Simplify right side
    683,838.62x = 545,439,616,465.57
  5. Step 5: Solve for x
    x = 545,439,616,465.57/683,838.62
  6. Step 6: Final answer
    x = 797,614.53

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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.