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Finding the Fourth Proportional to 378,053.36, 521,712.01 and 205,970.79

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Solution

The fourth proportional to 378,053.36, 521,712.01 and 205,970.79 is: 284,238.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,053.36 : 521,712.01 = 205,970.79 : x
  2. Step 2: Convert to fraction form
    378,053.36/521,712.01 = 205,970.79/x
  3. Step 3: Cross multiply
    378,053.36x = 521,712.01 × 205,970.79
  4. Step 4: Simplify right side
    378,053.36x = 107,457,434,852.19
  5. Step 5: Solve for x
    x = 107,457,434,852.19/378,053.36
  6. Step 6: Final answer
    x = 284,238.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.