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Finding the Fourth Proportional to 594,871.77, 820,836.42 and 340,173.75

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Solution

The fourth proportional to 594,871.77, 820,836.42 and 340,173.75 is: 469,390.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,871.77 : 820,836.42 = 340,173.75 : x
  2. Step 2: Convert to fraction form
    594,871.77/820,836.42 = 340,173.75/x
  3. Step 3: Cross multiply
    594,871.77x = 820,836.42 × 340,173.75
  4. Step 4: Simplify right side
    594,871.77x = 279,227,003,127.98
  5. Step 5: Solve for x
    x = 279,227,003,127.98/594,871.77
  6. Step 6: Final answer
    x = 469,390.24

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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.