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Finding the Fourth Proportional to 413,810.70, 620,716.05 and 147,579.90

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Solution

The fourth proportional to 413,810.70, 620,716.05 and 147,579.90 is: 221,369.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,810.70 : 620,716.05 = 147,579.90 : x
  2. Step 2: Convert to fraction form
    413,810.70/620,716.05 = 147,579.90/x
  3. Step 3: Cross multiply
    413,810.70x = 620,716.05 × 147,579.90
  4. Step 4: Simplify right side
    413,810.70x = 91,605,212,587.40
  5. Step 5: Solve for x
    x = 91,605,212,587.40/413,810.70
  6. Step 6: Final answer
    x = 221,369.85

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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.