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Finding the Fourth Proportional to 505,191.38, 758,109.71 and 238,967.60

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Solution

The fourth proportional to 505,191.38, 758,109.71 and 238,967.60 is: 358,604.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,191.38 : 758,109.71 = 238,967.60 : x
  2. Step 2: Convert to fraction form
    505,191.38/758,109.71 = 238,967.60/x
  3. Step 3: Cross multiply
    505,191.38x = 758,109.71 × 238,967.60
  4. Step 4: Simplify right side
    505,191.38x = 181,163,654,742.27
  5. Step 5: Solve for x
    x = 181,163,654,742.27/505,191.38
  6. Step 6: Final answer
    x = 358,604.01

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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.