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Finding the Fourth Proportional to 472,398.54, 651,704.20 and 300,224.22

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Solution

The fourth proportional to 472,398.54, 651,704.20 and 300,224.22 is: 414,178.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,398.54 : 651,704.20 = 300,224.22 : x
  2. Step 2: Convert to fraction form
    472,398.54/651,704.20 = 300,224.22/x
  3. Step 3: Cross multiply
    472,398.54x = 651,704.20 × 300,224.22
  4. Step 4: Simplify right side
    472,398.54x = 195,657,385,115.72
  5. Step 5: Solve for x
    x = 195,657,385,115.72/472,398.54
  6. Step 6: Final answer
    x = 414,178.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.