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Finding the Fourth Proportional to 471,588.66, 707,142.69 and 231,718.50

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Solution

The fourth proportional to 471,588.66, 707,142.69 and 231,718.50 is: 347,459.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,588.66 : 707,142.69 = 231,718.50 : x
  2. Step 2: Convert to fraction form
    471,588.66/707,142.69 = 231,718.50/x
  3. Step 3: Cross multiply
    471,588.66x = 707,142.69 × 231,718.50
  4. Step 4: Simplify right side
    471,588.66x = 163,858,043,412.77
  5. Step 5: Solve for x
    x = 163,858,043,412.77/471,588.66
  6. Step 6: Final answer
    x = 347,459.68

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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.