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Finding the Fourth Proportional to 421,709.58, 632,493.90 and 184,988.70

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Solution

The fourth proportional to 421,709.58, 632,493.90 and 184,988.70 is: 277,452.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,709.58 : 632,493.90 = 184,988.70 : x
  2. Step 2: Convert to fraction form
    421,709.58/632,493.90 = 184,988.70/x
  3. Step 3: Cross multiply
    421,709.58x = 632,493.90 × 184,988.70
  4. Step 4: Simplify right side
    421,709.58x = 117,004,224,318.93
  5. Step 5: Solve for x
    x = 117,004,224,318.93/421,709.58
  6. Step 6: Final answer
    x = 277,452.14

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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.