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Finding the Fourth Proportional to 432,527.70, 648,791.28 and 314,947.02

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Solution

The fourth proportional to 432,527.70, 648,791.28 and 314,947.02 is: 472,420.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,527.70 : 648,791.28 = 314,947.02 : x
  2. Step 2: Convert to fraction form
    432,527.70/648,791.28 = 314,947.02/x
  3. Step 3: Cross multiply
    432,527.70x = 648,791.28 × 314,947.02
  4. Step 4: Simplify right side
    432,527.70x = 204,334,880,237.99
  5. Step 5: Solve for x
    x = 204,334,880,237.99/432,527.70
  6. Step 6: Final answer
    x = 472,420.33

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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.