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Finding the Fourth Proportional to 382,822.98, 528,284.64 and 213,053.46

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Solution

The fourth proportional to 382,822.98, 528,284.64 and 213,053.46 is: 294,007.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,822.98 : 528,284.64 = 213,053.46 : x
  2. Step 2: Convert to fraction form
    382,822.98/528,284.64 = 213,053.46/x
  3. Step 3: Cross multiply
    382,822.98x = 528,284.64 × 213,053.46
  4. Step 4: Simplify right side
    382,822.98x = 112,552,870,416.85
  5. Step 5: Solve for x
    x = 112,552,870,416.85/382,822.98
  6. Step 6: Final answer
    x = 294,007.61

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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.