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Finding the Fourth Proportional to 410,599.72, 615,381.18 and 200,303.40

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Solution

The fourth proportional to 410,599.72, 615,381.18 and 200,303.40 is: 300,202.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,599.72 : 615,381.18 = 200,303.40 : x
  2. Step 2: Convert to fraction form
    410,599.72/615,381.18 = 200,303.40/x
  3. Step 3: Cross multiply
    410,599.72x = 615,381.18 × 200,303.40
  4. Step 4: Simplify right side
    410,599.72x = 123,262,942,650.01
  5. Step 5: Solve for x
    x = 123,262,942,650.01/410,599.72
  6. Step 6: Final answer
    x = 300,202.21

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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.