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Finding the Fourth Proportional to 432,096, 648,111.36 and 151,632

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Solution

The fourth proportional to 432,096, 648,111.36 and 151,632 is: 227,436.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,096 : 648,111.36 = 151,632 : x
  2. Step 2: Convert to fraction form
    432,096/648,111.36 = 151,632/x
  3. Step 3: Cross multiply
    432,096x = 648,111.36 × 151,632
  4. Step 4: Simplify right side
    432,096x = 98,274,421,739.52
  5. Step 5: Solve for x
    x = 98,274,421,739.52/432,096
  6. Step 6: Final answer
    x = 227,436.55

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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.