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Finding the Fourth Proportional to 413,623.44, 620,410.52 and 147,369.84

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Solution

The fourth proportional to 413,623.44, 620,410.52 and 147,369.84 is: 221,045.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,623.44 : 620,410.52 = 147,369.84 : x
  2. Step 2: Convert to fraction form
    413,623.44/620,410.52 = 147,369.84/x
  3. Step 3: Cross multiply
    413,623.44x = 620,410.52 × 147,369.84
  4. Step 4: Simplify right side
    413,623.44x = 91,429,799,066.72
  5. Step 5: Solve for x
    x = 91,429,799,066.72/413,623.44
  6. Step 6: Final answer
    x = 221,045.98

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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.