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Finding the Fourth Proportional to 509,009.01, 763,387.41 and 172,042.23

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Solution

The fourth proportional to 509,009.01, 763,387.41 and 172,042.23 is: 258,020.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,009.01 : 763,387.41 = 172,042.23 : x
  2. Step 2: Convert to fraction form
    509,009.01/763,387.41 = 172,042.23/x
  3. Step 3: Cross multiply
    509,009.01x = 763,387.41 × 172,042.23
  4. Step 4: Simplify right side
    509,009.01x = 131,334,872,370.32
  5. Step 5: Solve for x
    x = 131,334,872,370.32/509,009.01
  6. Step 6: Final answer
    x = 258,020.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.