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Finding the Fourth Proportional to 537,829.90, 806,658.45 and 163,765.90

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Solution

The fourth proportional to 537,829.90, 806,658.45 and 163,765.90 is: 245,622.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,829.90 : 806,658.45 = 163,765.90 : x
  2. Step 2: Convert to fraction form
    537,829.90/806,658.45 = 163,765.90/x
  3. Step 3: Cross multiply
    537,829.90x = 806,658.45 × 163,765.90
  4. Step 4: Simplify right side
    537,829.90x = 132,103,147,056.86
  5. Step 5: Solve for x
    x = 132,103,147,056.86/537,829.90
  6. Step 6: Final answer
    x = 245,622.54

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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.