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Finding the Fourth Proportional to 474,684.30, 712,029.42 and 194,201.55

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Solution

The fourth proportional to 474,684.30, 712,029.42 and 194,201.55 is: 291,303.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,684.30 : 712,029.42 = 194,201.55 : x
  2. Step 2: Convert to fraction form
    474,684.30/712,029.42 = 194,201.55/x
  3. Step 3: Cross multiply
    474,684.30x = 712,029.42 × 194,201.55
  4. Step 4: Simplify right side
    474,684.30x = 138,277,217,009.60
  5. Step 5: Solve for x
    x = 138,277,217,009.60/474,684.30
  6. Step 6: Final answer
    x = 291,303.54

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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.