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Finding the Fourth Proportional to 833,082.14, 1,149,658.86 and 451,108.91

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Solution

The fourth proportional to 833,082.14, 1,149,658.86 and 451,108.91 is: 622,533.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,082.14 : 1,149,658.86 = 451,108.91 : x
  2. Step 2: Convert to fraction form
    833,082.14/1,149,658.86 = 451,108.91/x
  3. Step 3: Cross multiply
    833,082.14x = 1,149,658.86 × 451,108.91
  4. Step 4: Simplify right side
    833,082.14x = 518,621,349,458.15
  5. Step 5: Solve for x
    x = 518,621,349,458.15/833,082.14
  6. Step 6: Final answer
    x = 622,533.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.