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Finding the Fourth Proportional to 364,323.94, 502,828.50 and 269,106.82

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Solution

The fourth proportional to 364,323.94, 502,828.50 and 269,106.82 is: 371,412.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,323.94 : 502,828.50 = 269,106.82 : x
  2. Step 2: Convert to fraction form
    364,323.94/502,828.50 = 269,106.82/x
  3. Step 3: Cross multiply
    364,323.94x = 502,828.50 × 269,106.82
  4. Step 4: Simplify right side
    364,323.94x = 135,314,578,640.37
  5. Step 5: Solve for x
    x = 135,314,578,640.37/364,323.94
  6. Step 6: Final answer
    x = 371,412.81

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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.