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Finding the Fourth Proportional to 416,484.10, 624,726.14 and 100,941

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Solution

The fourth proportional to 416,484.10, 624,726.14 and 100,941 is: 151,411.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,484.10 : 624,726.14 = 100,941 : x
  2. Step 2: Convert to fraction form
    416,484.10/624,726.14 = 100,941/x
  3. Step 3: Cross multiply
    416,484.10x = 624,726.14 × 100,941
  4. Step 4: Simplify right side
    416,484.10x = 63,060,481,297.74
  5. Step 5: Solve for x
    x = 63,060,481,297.74/416,484.10
  6. Step 6: Final answer
    x = 151,411.50

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1.5x scale

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.