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Finding the Fourth Proportional to 432,495.90, 648,742.32 and 116,952.78

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Solution

The fourth proportional to 432,495.90, 648,742.32 and 116,952.78 is: 175,428.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,495.90 : 648,742.32 = 116,952.78 : x
  2. Step 2: Convert to fraction form
    432,495.90/648,742.32 = 116,952.78/x
  3. Step 3: Cross multiply
    432,495.90x = 648,742.32 × 116,952.78
  4. Step 4: Simplify right side
    432,495.90x = 75,872,217,827.65
  5. Step 5: Solve for x
    x = 75,872,217,827.65/432,495.90
  6. Step 6: Final answer
    x = 175,428.76

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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.