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Finding the Fourth Proportional to 432,054.93, 648,082.46 and 116,511.87

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Solution

The fourth proportional to 432,054.93, 648,082.46 and 116,511.87 is: 174,767.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,054.93 : 648,082.46 = 116,511.87 : x
  2. Step 2: Convert to fraction form
    432,054.93/648,082.46 = 116,511.87/x
  3. Step 3: Cross multiply
    432,054.93x = 648,082.46 × 116,511.87
  4. Step 4: Simplify right side
    432,054.93x = 75,509,299,328.80
  5. Step 5: Solve for x
    x = 75,509,299,328.80/432,054.93
  6. Step 6: Final answer
    x = 174,767.82

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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.