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Finding the Fourth Proportional to 338,029.92, 507,121.68 and 180,175.20

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Solution

The fourth proportional to 338,029.92, 507,121.68 and 180,175.20 is: 270,303.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,029.92 : 507,121.68 = 180,175.20 : x
  2. Step 2: Convert to fraction form
    338,029.92/507,121.68 = 180,175.20/x
  3. Step 3: Cross multiply
    338,029.92x = 507,121.68 × 180,175.20
  4. Step 4: Simplify right side
    338,029.92x = 91,370,750,118.34
  5. Step 5: Solve for x
    x = 91,370,750,118.34/338,029.92
  6. Step 6: Final answer
    x = 270,303.74

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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.