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Finding the Fourth Proportional to 432,148.82, 648,223.20 and 116,605.72

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Solution

The fourth proportional to 432,148.82, 648,223.20 and 116,605.72 is: 174,908.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,148.82 : 648,223.20 = 116,605.72 : x
  2. Step 2: Convert to fraction form
    432,148.82/648,223.20 = 116,605.72/x
  3. Step 3: Cross multiply
    432,148.82x = 648,223.20 × 116,605.72
  4. Step 4: Simplify right side
    432,148.82x = 75,586,532,956.70
  5. Step 5: Solve for x
    x = 75,586,532,956.70/432,148.82
  6. Step 6: Final answer
    x = 174,908.57

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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.