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Finding the Fourth Proportional to 446,644.08, 669,822.14 and 147,053.33

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Solution

The fourth proportional to 446,644.08, 669,822.14 and 147,053.33 is: 220,532.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,644.08 : 669,822.14 = 147,053.33 : x
  2. Step 2: Convert to fraction form
    446,644.08/669,822.14 = 147,053.33/x
  3. Step 3: Cross multiply
    446,644.08x = 669,822.14 × 147,053.33
  4. Step 4: Simplify right side
    446,644.08x = 98,499,572,110.35
  5. Step 5: Solve for x
    x = 98,499,572,110.35/446,644.08
  6. Step 6: Final answer
    x = 220,532.58

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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.