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Finding the Fourth Proportional to 416,384.25, 624,574.29 and 100,841.16

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Solution

The fourth proportional to 416,384.25, 624,574.29 and 100,841.16 is: 151,261.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,384.25 : 624,574.29 = 100,841.16 : x
  2. Step 2: Convert to fraction form
    416,384.25/624,574.29 = 100,841.16/x
  3. Step 3: Cross multiply
    416,384.25x = 624,574.29 × 100,841.16
  4. Step 4: Simplify right side
    416,384.25x = 62,982,795,909.78
  5. Step 5: Solve for x
    x = 62,982,795,909.78/416,384.25
  6. Step 6: Final answer
    x = 151,261.24

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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.