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Finding the Fourth Proportional to 474,672.96, 712,009.44 and 194,076

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Solution

The fourth proportional to 474,672.96, 712,009.44 and 194,076 is: 291,114

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,672.96 : 712,009.44 = 194,076 : x
  2. Step 2: Convert to fraction form
    474,672.96/712,009.44 = 194,076/x
  3. Step 3: Cross multiply
    474,672.96x = 712,009.44 × 194,076
  4. Step 4: Simplify right side
    474,672.96x = 138,183,944,077.44
  5. Step 5: Solve for x
    x = 138,183,944,077.44/474,672.96
  6. Step 6: Final answer
    x = 291,114

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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.