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Finding the Fourth Proportional to 531,674.28, 797,278.14 and 199,017

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Solution

The fourth proportional to 531,674.28, 797,278.14 and 199,017 is: 298,438.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,674.28 : 797,278.14 = 199,017 : x
  2. Step 2: Convert to fraction form
    531,674.28/797,278.14 = 199,017/x
  3. Step 3: Cross multiply
    531,674.28x = 797,278.14 × 199,017
  4. Step 4: Simplify right side
    531,674.28x = 158,671,903,588.38
  5. Step 5: Solve for x
    x = 158,671,903,588.38/531,674.28
  6. Step 6: Final answer
    x = 298,438.18

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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.