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Finding the Fourth Proportional to 546,794.72, 820,234.88 and 147,429.36

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Solution

The fourth proportional to 546,794.72, 820,234.88 and 147,429.36 is: 221,155.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,794.72 : 820,234.88 = 147,429.36 : x
  2. Step 2: Convert to fraction form
    546,794.72/820,234.88 = 147,429.36/x
  3. Step 3: Cross multiply
    546,794.72x = 820,234.88 × 147,429.36
  4. Step 4: Simplify right side
    546,794.72x = 120,926,703,408.08
  5. Step 5: Solve for x
    x = 120,926,703,408.08/546,794.72
  6. Step 6: Final answer
    x = 221,155.58

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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.