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Finding the Fourth Proportional to 286,772.67, 395,701.94 and 165,925.24

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Solution

The fourth proportional to 286,772.67, 395,701.94 and 165,925.24 is: 228,951.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,772.67 : 395,701.94 = 165,925.24 : x
  2. Step 2: Convert to fraction form
    286,772.67/395,701.94 = 165,925.24/x
  3. Step 3: Cross multiply
    286,772.67x = 395,701.94 × 165,925.24
  4. Step 4: Simplify right side
    286,772.67x = 65,656,938,788.52
  5. Step 5: Solve for x
    x = 65,656,938,788.52/286,772.67
  6. Step 6: Final answer
    x = 228,951.17

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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.