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Finding the Fourth Proportional to 286,662.14, 395,607.78 and 159,335

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Solution

The fourth proportional to 286,662.14, 395,607.78 and 159,335 is: 219,890.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,662.14 : 395,607.78 = 159,335 : x
  2. Step 2: Convert to fraction form
    286,662.14/395,607.78 = 159,335/x
  3. Step 3: Cross multiply
    286,662.14x = 395,607.78 × 159,335
  4. Step 4: Simplify right side
    286,662.14x = 63,034,165,626.30
  5. Step 5: Solve for x
    x = 63,034,165,626.30/286,662.14
  6. Step 6: Final answer
    x = 219,890.10

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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.