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Finding the Fourth Proportional to 432,570.44, 648,966.43 and 133,053.60

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Solution

The fourth proportional to 432,570.44, 648,966.43 and 133,053.60 is: 199,614.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,570.44 : 648,966.43 = 133,053.60 : x
  2. Step 2: Convert to fraction form
    432,570.44/648,966.43 = 133,053.60/x
  3. Step 3: Cross multiply
    432,570.44x = 648,966.43 × 133,053.60
  4. Step 4: Simplify right side
    432,570.44x = 86,347,322,390.59
  5. Step 5: Solve for x
    x = 86,347,322,390.59/432,570.44
  6. Step 6: Final answer
    x = 199,614.48

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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.