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Finding the Fourth Proportional to 304,844.64, 457,053.12 and 164,695.20

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Solution

The fourth proportional to 304,844.64, 457,053.12 and 164,695.20 is: 246,927.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,844.64 : 457,053.12 = 164,695.20 : x
  2. Step 2: Convert to fraction form
    304,844.64/457,053.12 = 164,695.20/x
  3. Step 3: Cross multiply
    304,844.64x = 457,053.12 × 164,695.20
  4. Step 4: Simplify right side
    304,844.64x = 75,274,455,009.02
  5. Step 5: Solve for x
    x = 75,274,455,009.02/304,844.64
  6. Step 6: Final answer
    x = 246,927.27

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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.