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Finding the Fourth Proportional to 472,843.16, 652,573.77 and 289,189.16

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Solution

The fourth proportional to 472,843.16, 652,573.77 and 289,189.16 is: 399,111.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,843.16 : 652,573.77 = 289,189.16 : x
  2. Step 2: Convert to fraction form
    472,843.16/652,573.77 = 289,189.16/x
  3. Step 3: Cross multiply
    472,843.16x = 652,573.77 × 289,189.16
  4. Step 4: Simplify right side
    472,843.16x = 188,717,260,384.33
  5. Step 5: Solve for x
    x = 188,717,260,384.33/472,843.16
  6. Step 6: Final answer
    x = 399,111.75

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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.