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Finding the Fourth Proportional to 503,853.27, 695,196.75 and 286,013.49

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Solution

The fourth proportional to 503,853.27, 695,196.75 and 286,013.49 is: 394,630.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,853.27 : 695,196.75 = 286,013.49 : x
  2. Step 2: Convert to fraction form
    503,853.27/695,196.75 = 286,013.49/x
  3. Step 3: Cross multiply
    503,853.27x = 695,196.75 × 286,013.49
  4. Step 4: Simplify right side
    503,853.27x = 198,835,648,704.16
  5. Step 5: Solve for x
    x = 198,835,648,704.16/503,853.27
  6. Step 6: Final answer
    x = 394,630.07

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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.