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Finding the Fourth Proportional to 522,838.80, 784,841.40 and 488,575.80

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Solution

The fourth proportional to 522,838.80, 784,841.40 and 488,575.80 is: 733,408.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,838.80 : 784,841.40 = 488,575.80 : x
  2. Step 2: Convert to fraction form
    522,838.80/784,841.40 = 488,575.80/x
  3. Step 3: Cross multiply
    522,838.80x = 784,841.40 × 488,575.80
  4. Step 4: Simplify right side
    522,838.80x = 383,454,514,878.12
  5. Step 5: Solve for x
    x = 383,454,514,878.12/522,838.80
  6. Step 6: Final answer
    x = 733,408.68

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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.