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Finding the Fourth Proportional to 421,627.86, 632,001.15 and 184,770.90

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Solution

The fourth proportional to 421,627.86, 632,001.15 and 184,770.90 is: 276,963.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,627.86 : 632,001.15 = 184,770.90 : x
  2. Step 2: Convert to fraction form
    421,627.86/632,001.15 = 184,770.90/x
  3. Step 3: Cross multiply
    421,627.86x = 632,001.15 × 184,770.90
  4. Step 4: Simplify right side
    421,627.86x = 116,775,421,286.54
  5. Step 5: Solve for x
    x = 116,775,421,286.54/421,627.86
  6. Step 6: Final answer
    x = 276,963.25

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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.