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Finding the Fourth Proportional to 574,857.20, 862,415.40 and 175,516.40

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Solution

The fourth proportional to 574,857.20, 862,415.40 and 175,516.40 is: 263,314.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,857.20 : 862,415.40 = 175,516.40 : x
  2. Step 2: Convert to fraction form
    574,857.20/862,415.40 = 175,516.40/x
  3. Step 3: Cross multiply
    574,857.20x = 862,415.40 × 175,516.40
  4. Step 4: Simplify right side
    574,857.20x = 151,368,046,312.56
  5. Step 5: Solve for x
    x = 151,368,046,312.56/574,857.20
  6. Step 6: Final answer
    x = 263,314.17

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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.