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Finding the Fourth Proportional to 299,566, 413,404.40 and 163,603.96

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Solution

The fourth proportional to 299,566, 413,404.40 and 163,603.96 is: 225,775.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,566 : 413,404.40 = 163,603.96 : x
  2. Step 2: Convert to fraction form
    299,566/413,404.40 = 163,603.96/x
  3. Step 3: Cross multiply
    299,566x = 413,404.40 × 163,603.96
  4. Step 4: Simplify right side
    299,566x = 67,634,596,921.42
  5. Step 5: Solve for x
    x = 67,634,596,921.42/299,566
  6. Step 6: Final answer
    x = 225,775.28

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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.