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Finding the Fourth Proportional to 346,963.62, 520,090.92 and 196,887

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Solution

The fourth proportional to 346,963.62, 520,090.92 and 196,887 is: 295,129.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,963.62 : 520,090.92 = 196,887 : x
  2. Step 2: Convert to fraction form
    346,963.62/520,090.92 = 196,887/x
  3. Step 3: Cross multiply
    346,963.62x = 520,090.92 × 196,887
  4. Step 4: Simplify right side
    346,963.62x = 102,399,140,966.04
  5. Step 5: Solve for x
    x = 102,399,140,966.04/346,963.62
  6. Step 6: Final answer
    x = 295,129.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.