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Finding the Fourth Proportional to 432,746.92, 649,120.48 and 117,203.93

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Solution

The fourth proportional to 432,746.92, 649,120.48 and 117,203.93 is: 175,805.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,746.92 : 649,120.48 = 117,203.93 : x
  2. Step 2: Convert to fraction form
    432,746.92/649,120.48 = 117,203.93/x
  3. Step 3: Cross multiply
    432,746.92x = 649,120.48 × 117,203.93
  4. Step 4: Simplify right side
    432,746.92x = 76,079,471,299.49
  5. Step 5: Solve for x
    x = 76,079,471,299.49/432,746.92
  6. Step 6: Final answer
    x = 175,805.92

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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.