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Finding the Fourth Proportional to 277,448.54, 416,074.32 and 99,907.88

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Solution

The fourth proportional to 277,448.54, 416,074.32 and 99,907.88 is: 149,826.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,448.54 : 416,074.32 = 99,907.88 : x
  2. Step 2: Convert to fraction form
    277,448.54/416,074.32 = 99,907.88/x
  3. Step 3: Cross multiply
    277,448.54x = 416,074.32 × 99,907.88
  4. Step 4: Simplify right side
    277,448.54x = 41,569,101,153.27
  5. Step 5: Solve for x
    x = 41,569,101,153.27/277,448.54
  6. Step 6: Final answer
    x = 149,826.35

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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.