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Finding the Fourth Proportional to 416,637.82, 624,827.78 and 150,364.63

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Solution

The fourth proportional to 416,637.82, 624,827.78 and 150,364.63 is: 225,500.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,637.82 : 624,827.78 = 150,364.63 : x
  2. Step 2: Convert to fraction form
    416,637.82/624,827.78 = 150,364.63/x
  3. Step 3: Cross multiply
    416,637.82x = 624,827.78 × 150,364.63
  4. Step 4: Simplify right side
    416,637.82x = 93,951,994,077.46
  5. Step 5: Solve for x
    x = 93,951,994,077.46/416,637.82
  6. Step 6: Final answer
    x = 225,500.40

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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.