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Finding the Fourth Proportional to 472,917.20, 652,455.14 and 364,054.82

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Solution

The fourth proportional to 472,917.20, 652,455.14 and 364,054.82 is: 502,264.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,917.20 : 652,455.14 = 364,054.82 : x
  2. Step 2: Convert to fraction form
    472,917.20/652,455.14 = 364,054.82/x
  3. Step 3: Cross multiply
    472,917.20x = 652,455.14 × 364,054.82
  4. Step 4: Simplify right side
    472,917.20x = 237,529,438,550.78
  5. Step 5: Solve for x
    x = 237,529,438,550.78/472,917.20
  6. Step 6: Final answer
    x = 502,264.33

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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.