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Finding the Fourth Proportional to 475,659.64, 713,398.74 and 238,936.60

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Solution

The fourth proportional to 475,659.64, 713,398.74 and 238,936.60 is: 358,359.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,659.64 : 713,398.74 = 238,936.60 : x
  2. Step 2: Convert to fraction form
    475,659.64/713,398.74 = 238,936.60/x
  3. Step 3: Cross multiply
    475,659.64x = 713,398.74 × 238,936.60
  4. Step 4: Simplify right side
    475,659.64x = 170,457,069,379.88
  5. Step 5: Solve for x
    x = 170,457,069,379.88/475,659.64
  6. Step 6: Final answer
    x = 358,359.33

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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.