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Finding the Fourth Proportional to 432,460.65, 648,689.45 and 116,917.50

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Solution

The fourth proportional to 432,460.65, 648,689.45 and 116,917.50 is: 175,375.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,460.65 : 648,689.45 = 116,917.50 : x
  2. Step 2: Convert to fraction form
    432,460.65/648,689.45 = 116,917.50/x
  3. Step 3: Cross multiply
    432,460.65x = 648,689.45 × 116,917.50
  4. Step 4: Simplify right side
    432,460.65x = 75,843,148,185.79
  5. Step 5: Solve for x
    x = 75,843,148,185.79/432,460.65
  6. Step 6: Final answer
    x = 175,375.84

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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.