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Finding the Fourth Proportional to 432,054.65, 648,082.04 and 116,511.59

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Solution

The fourth proportional to 432,054.65, 648,082.04 and 116,511.59 is: 174,767.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,054.65 : 648,082.04 = 116,511.59 : x
  2. Step 2: Convert to fraction form
    432,054.65/648,082.04 = 116,511.59/x
  3. Step 3: Cross multiply
    432,054.65x = 648,082.04 × 116,511.59
  4. Step 4: Simplify right side
    432,054.65x = 75,509,070,842.33
  5. Step 5: Solve for x
    x = 75,509,070,842.33/432,054.65
  6. Step 6: Final answer
    x = 174,767.41

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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.