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Finding the Fourth Proportional to 410,274.33, 615,214.55 and 193,952.96

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Solution

The fourth proportional to 410,274.33, 615,214.55 and 193,952.96 is: 290,836.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,274.33 : 615,214.55 = 193,952.96 : x
  2. Step 2: Convert to fraction form
    410,274.33/615,214.55 = 193,952.96/x
  3. Step 3: Cross multiply
    410,274.33x = 615,214.55 × 193,952.96
  4. Step 4: Simplify right side
    410,274.33x = 119,322,679,931.50
  5. Step 5: Solve for x
    x = 119,322,679,931.50/410,274.33
  6. Step 6: Final answer
    x = 290,836.33

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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.