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Finding the Fourth Proportional to 678,969.51, 937,059.38 and 407,186.92

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Solution

The fourth proportional to 678,969.51, 937,059.38 and 407,186.92 is: 561,966.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,969.51 : 937,059.38 = 407,186.92 : x
  2. Step 2: Convert to fraction form
    678,969.51/937,059.38 = 407,186.92/x
  3. Step 3: Cross multiply
    678,969.51x = 937,059.38 × 407,186.92
  4. Step 4: Simplify right side
    678,969.51x = 381,558,320,481.12
  5. Step 5: Solve for x
    x = 381,558,320,481.12/678,969.51
  6. Step 6: Final answer
    x = 561,966.80

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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.