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Finding the Fourth Proportional to 432,097.50, 648,144.33 and 116,585.82

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Solution

The fourth proportional to 432,097.50, 648,144.33 and 116,585.82 is: 174,878.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,097.50 : 648,144.33 = 116,585.82 : x
  2. Step 2: Convert to fraction form
    432,097.50/648,144.33 = 116,585.82/x
  3. Step 3: Cross multiply
    432,097.50x = 648,144.33 × 116,585.82
  4. Step 4: Simplify right side
    432,097.50x = 75,564,438,191.40
  5. Step 5: Solve for x
    x = 75,564,438,191.40/432,097.50
  6. Step 6: Final answer
    x = 174,878.21

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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.