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Finding the Fourth Proportional to 277,726.64, 416,503.68 and 100,210.48

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Solution

The fourth proportional to 277,726.64, 416,503.68 and 100,210.48 is: 150,284.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,726.64 : 416,503.68 = 100,210.48 : x
  2. Step 2: Convert to fraction form
    277,726.64/416,503.68 = 100,210.48/x
  3. Step 3: Cross multiply
    277,726.64x = 416,503.68 × 100,210.48
  4. Step 4: Simplify right side
    277,726.64x = 41,738,033,694.57
  5. Step 5: Solve for x
    x = 41,738,033,694.57/277,726.64
  6. Step 6: Final answer
    x = 150,284.59

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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.