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Finding the Fourth Proportional to 304,838.08, 420,691.40 and 183,977.16

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Solution

The fourth proportional to 304,838.08, 420,691.40 and 183,977.16 is: 253,897.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,838.08 : 420,691.40 = 183,977.16 : x
  2. Step 2: Convert to fraction form
    304,838.08/420,691.40 = 183,977.16/x
  3. Step 3: Cross multiply
    304,838.08x = 420,691.40 × 183,977.16
  4. Step 4: Simplify right side
    304,838.08x = 77,397,609,008.42
  5. Step 5: Solve for x
    x = 77,397,609,008.42/304,838.08
  6. Step 6: Final answer
    x = 253,897.44

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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.