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Finding the Fourth Proportional to 299,897.41, 413,858.44 and 163,931.89

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Solution

The fourth proportional to 299,897.41, 413,858.44 and 163,931.89 is: 226,226.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,897.41 : 413,858.44 = 163,931.89 : x
  2. Step 2: Convert to fraction form
    299,897.41/413,858.44 = 163,931.89/x
  3. Step 3: Cross multiply
    299,897.41x = 413,858.44 × 163,931.89
  4. Step 4: Simplify right side
    299,897.41x = 67,844,595,441.99
  5. Step 5: Solve for x
    x = 67,844,595,441.99/299,897.41
  6. Step 6: Final answer
    x = 226,226.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.