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Finding the Fourth Proportional to 325,462.92, 487,849.92 and 148,094.48

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Solution

The fourth proportional to 325,462.92, 487,849.92 and 148,094.48 is: 221,984.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,462.92 : 487,849.92 = 148,094.48 : x
  2. Step 2: Convert to fraction form
    325,462.92/487,849.92 = 148,094.48/x
  3. Step 3: Cross multiply
    325,462.92x = 487,849.92 × 148,094.48
  4. Step 4: Simplify right side
    325,462.92x = 72,247,880,220.44
  5. Step 5: Solve for x
    x = 72,247,880,220.44/325,462.92
  6. Step 6: Final answer
    x = 221,984.98

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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.