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Finding the Fourth Proportional to 338,142.96, 466,646 and 185,189.60

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Solution

The fourth proportional to 338,142.96, 466,646 and 185,189.60 is: 255,566.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,142.96 : 466,646 = 185,189.60 : x
  2. Step 2: Convert to fraction form
    338,142.96/466,646 = 185,189.60/x
  3. Step 3: Cross multiply
    338,142.96x = 466,646 × 185,189.60
  4. Step 4: Simplify right side
    338,142.96x = 86,417,986,081.60
  5. Step 5: Solve for x
    x = 86,417,986,081.60/338,142.96
  6. Step 6: Final answer
    x = 255,566.42

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