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Finding the Fourth Proportional to 404,564.63, 558,509.00 and 295,546.50

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Solution

The fourth proportional to 404,564.63, 558,509.00 and 295,546.50 is: 408,007.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,564.63 : 558,509.00 = 295,546.50 : x
  2. Step 2: Convert to fraction form
    404,564.63/558,509.00 = 295,546.50/x
  3. Step 3: Cross multiply
    404,564.63x = 558,509.00 × 295,546.50
  4. Step 4: Simplify right side
    404,564.63x = 165,065,378,690.77
  5. Step 5: Solve for x
    x = 165,065,378,690.77/404,564.63
  6. Step 6: Final answer
    x = 408,007.44

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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.