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Finding the Fourth Proportional to 325,462.42, 487,849.17 and 148,093.98

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Solution

The fourth proportional to 325,462.42, 487,849.17 and 148,093.98 is: 221,984.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,462.42 : 487,849.17 = 148,093.98 : x
  2. Step 2: Convert to fraction form
    325,462.42/487,849.17 = 148,093.98/x
  3. Step 3: Cross multiply
    325,462.42x = 487,849.17 × 148,093.98
  4. Step 4: Simplify right side
    325,462.42x = 72,247,525,225.00
  5. Step 5: Solve for x
    x = 72,247,525,225.00/325,462.42
  6. Step 6: Final answer
    x = 221,984.24

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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.