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Finding the Fourth Proportional to 515,504.72, 711,400.38 and 286,062.86

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Solution

The fourth proportional to 515,504.72, 711,400.38 and 286,062.86 is: 394,768.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,504.72 : 711,400.38 = 286,062.86 : x
  2. Step 2: Convert to fraction form
    515,504.72/711,400.38 = 286,062.86/x
  3. Step 3: Cross multiply
    515,504.72x = 711,400.38 × 286,062.86
  4. Step 4: Simplify right side
    515,504.72x = 203,505,227,307.89
  5. Step 5: Solve for x
    x = 203,505,227,307.89/515,504.72
  6. Step 6: Final answer
    x = 394,768.89

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Why These Related Problems?

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