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Finding the Fourth Proportional to 338,259.96, 466,782.28 and 185,299.06

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Solution

The fourth proportional to 338,259.96, 466,782.28 and 185,299.06 is: 255,703.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,259.96 : 466,782.28 = 185,299.06 : x
  2. Step 2: Convert to fraction form
    338,259.96/466,782.28 = 185,299.06/x
  3. Step 3: Cross multiply
    338,259.96x = 466,782.28 × 185,299.06
  4. Step 4: Simplify right side
    338,259.96x = 86,494,317,708.66
  5. Step 5: Solve for x
    x = 86,494,317,708.66/338,259.96
  6. Step 6: Final answer
    x = 255,703.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.