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Finding the Fourth Proportional to 397,592.88, 595,972.81 and 194,909.01

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Solution

The fourth proportional to 397,592.88, 595,972.81 and 194,909.01 is: 292,159.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,592.88 : 595,972.81 = 194,909.01 : x
  2. Step 2: Convert to fraction form
    397,592.88/595,972.81 = 194,909.01/x
  3. Step 3: Cross multiply
    397,592.88x = 595,972.81 × 194,909.01
  4. Step 4: Simplify right side
    397,592.88x = 116,160,470,384.02
  5. Step 5: Solve for x
    x = 116,160,470,384.02/397,592.88
  6. Step 6: Final answer
    x = 292,159.33

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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.