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Finding the Fourth Proportional to 451,776.74, 677,224.47 and 215,055.86

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Solution

The fourth proportional to 451,776.74, 677,224.47 and 215,055.86 is: 322,374.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,776.74 : 677,224.47 = 215,055.86 : x
  2. Step 2: Convert to fraction form
    451,776.74/677,224.47 = 215,055.86/x
  3. Step 3: Cross multiply
    451,776.74x = 677,224.47 × 215,055.86
  4. Step 4: Simplify right side
    451,776.74x = 145,641,090,808.89
  5. Step 5: Solve for x
    x = 145,641,090,808.89/451,776.74
  6. Step 6: Final answer
    x = 322,374.04

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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.