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Finding the Fourth Proportional to 338,611.80, 507,959.68 and 110,829.18

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Solution

The fourth proportional to 338,611.80, 507,959.68 and 110,829.18 is: 166,257.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,611.80 : 507,959.68 = 110,829.18 : x
  2. Step 2: Convert to fraction form
    338,611.80/507,959.68 = 110,829.18/x
  3. Step 3: Cross multiply
    338,611.80x = 507,959.68 × 110,829.18
  4. Step 4: Simplify right side
    338,611.80x = 56,296,754,807.46
  5. Step 5: Solve for x
    x = 56,296,754,807.46/338,611.80
  6. Step 6: Final answer
    x = 166,257.51

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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.