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Finding the Fourth Proportional to 379,762.11, 569,923.52 and 180,083.16

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Solution

The fourth proportional to 379,762.11, 569,923.52 and 180,083.16 is: 270,257.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,762.11 : 569,923.52 = 180,083.16 : x
  2. Step 2: Convert to fraction form
    379,762.11/569,923.52 = 180,083.16/x
  3. Step 3: Cross multiply
    379,762.11x = 569,923.52 × 180,083.16
  4. Step 4: Simplify right side
    379,762.11x = 102,633,627,539.51
  5. Step 5: Solve for x
    x = 102,633,627,539.51/379,762.11
  6. Step 6: Final answer
    x = 270,257.68

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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.