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Finding the Fourth Proportional to 442,259.94, 663,530.24 and 157,944.48

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Solution

The fourth proportional to 442,259.94, 663,530.24 and 157,944.48 is: 236,966.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,259.94 : 663,530.24 = 157,944.48 : x
  2. Step 2: Convert to fraction form
    442,259.94/663,530.24 = 157,944.48/x
  3. Step 3: Cross multiply
    442,259.94x = 663,530.24 × 157,944.48
  4. Step 4: Simplify right side
    442,259.94x = 104,800,938,721.08
  5. Step 5: Solve for x
    x = 104,800,938,721.08/442,259.94
  6. Step 6: Final answer
    x = 236,966.84

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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.