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Finding the Fourth Proportional to 286,359.02, 395,152.41 and 165,508.14

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Solution

The fourth proportional to 286,359.02, 395,152.41 and 165,508.14 is: 228,387.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,359.02 : 395,152.41 = 165,508.14 : x
  2. Step 2: Convert to fraction form
    286,359.02/395,152.41 = 165,508.14/x
  3. Step 3: Cross multiply
    286,359.02x = 395,152.41 × 165,508.14
  4. Step 4: Simplify right side
    286,359.02x = 65,400,939,344.38
  5. Step 5: Solve for x
    x = 65,400,939,344.38/286,359.02
  6. Step 6: Final answer
    x = 228,387.91

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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.