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Finding the Fourth Proportional to 657,474.84, 986,310.84 and 230,935.46

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Solution

The fourth proportional to 657,474.84, 986,310.84 and 230,935.46 is: 346,437.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,474.84 : 986,310.84 = 230,935.46 : x
  2. Step 2: Convert to fraction form
    657,474.84/986,310.84 = 230,935.46/x
  3. Step 3: Cross multiply
    657,474.84x = 986,310.84 × 230,935.46
  4. Step 4: Simplify right side
    657,474.84x = 227,774,142,606.83
  5. Step 5: Solve for x
    x = 227,774,142,606.83/657,474.84
  6. Step 6: Final answer
    x = 346,437.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.