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Finding the Fourth Proportional to 384,911.10, 577,694.70 and 172,006.65

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Solution

The fourth proportional to 384,911.10, 577,694.70 and 172,006.65 is: 258,156.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,911.10 : 577,694.70 = 172,006.65 : x
  2. Step 2: Convert to fraction form
    384,911.10/577,694.70 = 172,006.65/x
  3. Step 3: Cross multiply
    384,911.10x = 577,694.70 × 172,006.65
  4. Step 4: Simplify right side
    384,911.10x = 99,367,330,069.76
  5. Step 5: Solve for x
    x = 99,367,330,069.76/384,911.10
  6. Step 6: Final answer
    x = 258,156.57

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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.