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Finding the Fourth Proportional to 416,774.06, 625,088.64 and 117,183.54

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Solution

The fourth proportional to 416,774.06, 625,088.64 and 117,183.54 is: 175,754.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,774.06 : 625,088.64 = 117,183.54 : x
  2. Step 2: Convert to fraction form
    416,774.06/625,088.64 = 117,183.54/x
  3. Step 3: Cross multiply
    416,774.06x = 625,088.64 × 117,183.54
  4. Step 4: Simplify right side
    416,774.06x = 73,250,097,158.32
  5. Step 5: Solve for x
    x = 73,250,097,158.32/416,774.06
  6. Step 6: Final answer
    x = 175,754.93

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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.