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Finding the Fourth Proportional to 286,333.39, 395,140.71 and 159,009

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Solution

The fourth proportional to 286,333.39, 395,140.71 and 159,009 is: 219,432.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,333.39 : 395,140.71 = 159,009 : x
  2. Step 2: Convert to fraction form
    286,333.39/395,140.71 = 159,009/x
  3. Step 3: Cross multiply
    286,333.39x = 395,140.71 × 159,009
  4. Step 4: Simplify right side
    286,333.39x = 62,830,929,156.39
  5. Step 5: Solve for x
    x = 62,830,929,156.39/286,333.39
  6. Step 6: Final answer
    x = 219,432.77

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