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Finding the Fourth Proportional to 384,913.10, 577,369.65 and 104,429.90

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Solution

The fourth proportional to 384,913.10, 577,369.65 and 104,429.90 is: 156,644.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,913.10 : 577,369.65 = 104,429.90 : x
  2. Step 2: Convert to fraction form
    384,913.10/577,369.65 = 104,429.90/x
  3. Step 3: Cross multiply
    384,913.10x = 577,369.65 × 104,429.90
  4. Step 4: Simplify right side
    384,913.10x = 60,294,654,812.54
  5. Step 5: Solve for x
    x = 60,294,654,812.54/384,913.10
  6. Step 6: Final answer
    x = 156,644.85

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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.