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Finding the Fourth Proportional to 338,480.68, 507,797.64 and 113,834.95

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Solution

The fourth proportional to 338,480.68, 507,797.64 and 113,834.95 is: 170,778.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,480.68 : 507,797.64 = 113,834.95 : x
  2. Step 2: Convert to fraction form
    338,480.68/507,797.64 = 113,834.95/x
  3. Step 3: Cross multiply
    338,480.68x = 507,797.64 × 113,834.95
  4. Step 4: Simplify right side
    338,480.68x = 57,805,117,263.14
  5. Step 5: Solve for x
    x = 57,805,117,263.14/338,480.68
  6. Step 6: Final answer
    x = 170,778.19

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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.