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Finding the Fourth Proportional to 451,887.52, 677,712.48 and 214,758.40

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Solution

The fourth proportional to 451,887.52, 677,712.48 and 214,758.40 is: 322,081.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,887.52 : 677,712.48 = 214,758.40 : x
  2. Step 2: Convert to fraction form
    451,887.52/677,712.48 = 214,758.40/x
  3. Step 3: Cross multiply
    451,887.52x = 677,712.48 × 214,758.40
  4. Step 4: Simplify right side
    451,887.52x = 145,544,447,864.83
  5. Step 5: Solve for x
    x = 145,544,447,864.83/451,887.52
  6. Step 6: Final answer
    x = 322,081.14

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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.