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Finding the Fourth Proportional to 702,725.88, 1,053,709.74 and 364,933.20

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Solution

The fourth proportional to 702,725.88, 1,053,709.74 and 364,933.20 is: 547,202.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,725.88 : 1,053,709.74 = 364,933.20 : x
  2. Step 2: Convert to fraction form
    702,725.88/1,053,709.74 = 364,933.20/x
  3. Step 3: Cross multiply
    702,725.88x = 1,053,709.74 × 364,933.20
  4. Step 4: Simplify right side
    702,725.88x = 384,533,667,289.37
  5. Step 5: Solve for x
    x = 384,533,667,289.37/702,725.88
  6. Step 6: Final answer
    x = 547,202.94

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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.