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Finding the Fourth Proportional to 432,441, 648,956.76 and 151,958.16

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Solution

The fourth proportional to 432,441, 648,956.76 and 151,958.16 is: 228,040.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,441 : 648,956.76 = 151,958.16 : x
  2. Step 2: Convert to fraction form
    432,441/648,956.76 = 151,958.16/x
  3. Step 3: Cross multiply
    432,441x = 648,956.76 × 151,958.16
  4. Step 4: Simplify right side
    432,441x = 98,614,275,169.16
  5. Step 5: Solve for x
    x = 98,614,275,169.16/432,441
  6. Step 6: Final answer
    x = 228,040.99

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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.