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Finding the Fourth Proportional to 432,141.80, 648,212.70 and 116,598.71

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Solution

The fourth proportional to 432,141.80, 648,212.70 and 116,598.71 is: 174,898.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,141.80 : 648,212.70 = 116,598.71 : x
  2. Step 2: Convert to fraction form
    432,141.80/648,212.70 = 116,598.71/x
  3. Step 3: Cross multiply
    432,141.80x = 648,212.70 × 116,598.71
  4. Step 4: Simplify right side
    432,141.80x = 75,580,764,445.51
  5. Step 5: Solve for x
    x = 75,580,764,445.51/432,141.80
  6. Step 6: Final answer
    x = 174,898.06

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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.