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Finding the Fourth Proportional to 432,133.76, 648,224.94 and 116,615.27

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Solution

The fourth proportional to 432,133.76, 648,224.94 and 116,615.27 is: 174,929.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,133.76 : 648,224.94 = 116,615.27 : x
  2. Step 2: Convert to fraction form
    432,133.76/648,224.94 = 116,615.27/x
  3. Step 3: Cross multiply
    432,133.76x = 648,224.94 × 116,615.27
  4. Step 4: Simplify right side
    432,133.76x = 75,592,926,398.83
  5. Step 5: Solve for x
    x = 75,592,926,398.83/432,133.76
  6. Step 6: Final answer
    x = 174,929.46

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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.