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Finding the Fourth Proportional to 632,880.50, 949,476.30 and 189,648.50

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Solution

The fourth proportional to 632,880.50, 949,476.30 and 189,648.50 is: 284,519.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,880.50 : 949,476.30 = 189,648.50 : x
  2. Step 2: Convert to fraction form
    632,880.50/949,476.30 = 189,648.50/x
  3. Step 3: Cross multiply
    632,880.50x = 949,476.30 × 189,648.50
  4. Step 4: Simplify right side
    632,880.50x = 180,066,756,080.55
  5. Step 5: Solve for x
    x = 180,066,756,080.55/632,880.50
  6. Step 6: Final answer
    x = 284,519.36

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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.