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Finding the Fourth Proportional to 416,503.84, 624,750.16 and 100,963.48

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Solution

The fourth proportional to 416,503.84, 624,750.16 and 100,963.48 is: 151,443.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,503.84 : 624,750.16 = 100,963.48 : x
  2. Step 2: Convert to fraction form
    416,503.84/624,750.16 = 100,963.48/x
  3. Step 3: Cross multiply
    416,503.84x = 624,750.16 × 100,963.48
  4. Step 4: Simplify right side
    416,503.84x = 63,076,950,284.16
  5. Step 5: Solve for x
    x = 63,076,950,284.16/416,503.84
  6. Step 6: Final answer
    x = 151,443.86

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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.