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Finding the Fourth Proportional to 509,191.26, 763,869.51 and 172,252.40

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Solution

The fourth proportional to 509,191.26, 763,869.51 and 172,252.40 is: 258,406.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,191.26 : 763,869.51 = 172,252.40 : x
  2. Step 2: Convert to fraction form
    509,191.26/763,869.51 = 172,252.40/x
  3. Step 3: Cross multiply
    509,191.26x = 763,869.51 × 172,252.40
  4. Step 4: Simplify right side
    509,191.26x = 131,578,352,564.98
  5. Step 5: Solve for x
    x = 131,578,352,564.98/509,191.26
  6. Step 6: Final answer
    x = 258,406.54

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1.5x scale

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.