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Finding the Fourth Proportional to 338,403.86, 466,997.33 and 185,448.07

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Solution

The fourth proportional to 338,403.86, 466,997.33 and 185,448.07 is: 255,918.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,403.86 : 466,997.33 = 185,448.07 : x
  2. Step 2: Convert to fraction form
    338,403.86/466,997.33 = 185,448.07/x
  3. Step 3: Cross multiply
    338,403.86x = 466,997.33 × 185,448.07
  4. Step 4: Simplify right side
    338,403.86x = 86,603,750,281.43
  5. Step 5: Solve for x
    x = 86,603,750,281.43/338,403.86
  6. Step 6: Final answer
    x = 255,918.33

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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.