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Finding the Fourth Proportional to 413,765.40, 620,502.30 and 147,534.60

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Solution

The fourth proportional to 413,765.40, 620,502.30 and 147,534.60 is: 221,249.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,765.40 : 620,502.30 = 147,534.60 : x
  2. Step 2: Convert to fraction form
    413,765.40/620,502.30 = 147,534.60/x
  3. Step 3: Cross multiply
    413,765.40x = 620,502.30 × 147,534.60
  4. Step 4: Simplify right side
    413,765.40x = 91,545,558,629.58
  5. Step 5: Solve for x
    x = 91,545,558,629.58/413,765.40
  6. Step 6: Final answer
    x = 221,249.91

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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.