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Finding the Fourth Proportional to 447,533.76, 671,203.26 and 147,943.56

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Solution

The fourth proportional to 447,533.76, 671,203.26 and 147,943.56 is: 221,883.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,533.76 : 671,203.26 = 147,943.56 : x
  2. Step 2: Convert to fraction form
    447,533.76/671,203.26 = 147,943.56/x
  3. Step 3: Cross multiply
    447,533.76x = 671,203.26 × 147,943.56
  4. Step 4: Simplify right side
    447,533.76x = 99,300,199,768.01
  5. Step 5: Solve for x
    x = 99,300,199,768.01/447,533.76
  6. Step 6: Final answer
    x = 221,883.15

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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.