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Finding the Fourth Proportional to 421,777.92, 632,599.92 and 197,294.16

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Solution

The fourth proportional to 421,777.92, 632,599.92 and 197,294.16 is: 295,909.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,777.92 : 632,599.92 = 197,294.16 : x
  2. Step 2: Convert to fraction form
    421,777.92/632,599.92 = 197,294.16/x
  3. Step 3: Cross multiply
    421,777.92x = 632,599.92 × 197,294.16
  4. Step 4: Simplify right side
    421,777.92x = 124,808,269,832.47
  5. Step 5: Solve for x
    x = 124,808,269,832.47/421,777.92
  6. Step 6: Final answer
    x = 295,909.92

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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.