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Finding the Fourth Proportional to 474,697.14, 712,044.09 and 194,214.39

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Solution

The fourth proportional to 474,697.14, 712,044.09 and 194,214.39 is: 291,320.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,697.14 : 712,044.09 = 194,214.39 : x
  2. Step 2: Convert to fraction form
    474,697.14/712,044.09 = 194,214.39/x
  3. Step 3: Cross multiply
    474,697.14x = 712,044.09 × 194,214.39
  4. Step 4: Simplify right side
    474,697.14x = 138,289,208,592.46
  5. Step 5: Solve for x
    x = 138,289,208,592.46/474,697.14
  6. Step 6: Final answer
    x = 291,320.92

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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.