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Finding the Fourth Proportional to 338,666.54, 507,644.19 and 113,948.96

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Solution

The fourth proportional to 338,666.54, 507,644.19 and 113,948.96 is: 170,803.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,666.54 : 507,644.19 = 113,948.96 : x
  2. Step 2: Convert to fraction form
    338,666.54/507,644.19 = 113,948.96/x
  3. Step 3: Cross multiply
    338,666.54x = 507,644.19 × 113,948.96
  4. Step 4: Simplify right side
    338,666.54x = 57,845,524,392.58
  5. Step 5: Solve for x
    x = 57,845,524,392.58/338,666.54
  6. Step 6: Final answer
    x = 170,803.78

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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.