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Finding the Fourth Proportional to 384,296.17, 576,795.79 and 194,887.28

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Solution

The fourth proportional to 384,296.17, 576,795.79 and 194,887.28 is: 292,509.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,296.17 : 576,795.79 = 194,887.28 : x
  2. Step 2: Convert to fraction form
    384,296.17/576,795.79 = 194,887.28/x
  3. Step 3: Cross multiply
    384,296.17x = 576,795.79 × 194,887.28
  4. Step 4: Simplify right side
    384,296.17x = 112,410,159,744.57
  5. Step 5: Solve for x
    x = 112,410,159,744.57/384,296.17
  6. Step 6: Final answer
    x = 292,509.19

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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.