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Finding the Fourth Proportional to 304,756.26, 420,566.73 and 183,874.19

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Solution

The fourth proportional to 304,756.26, 420,566.73 and 183,874.19 is: 253,748.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,756.26 : 420,566.73 = 183,874.19 : x
  2. Step 2: Convert to fraction form
    304,756.26/420,566.73 = 183,874.19/x
  3. Step 3: Cross multiply
    304,756.26x = 420,566.73 × 183,874.19
  4. Step 4: Simplify right side
    304,756.26x = 77,331,364,716.87
  5. Step 5: Solve for x
    x = 77,331,364,716.87/304,756.26
  6. Step 6: Final answer
    x = 253,748.24

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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.