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Finding the Fourth Proportional to 413,099.40, 570,030.30 and 231,773.52

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Solution

The fourth proportional to 413,099.40, 570,030.30 and 231,773.52 is: 319,821.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,099.40 : 570,030.30 = 231,773.52 : x
  2. Step 2: Convert to fraction form
    413,099.40/570,030.30 = 231,773.52/x
  3. Step 3: Cross multiply
    413,099.40x = 570,030.30 × 231,773.52
  4. Step 4: Simplify right side
    413,099.40x = 132,117,929,137.66
  5. Step 5: Solve for x
    x = 132,117,929,137.66/413,099.40
  6. Step 6: Final answer
    x = 319,821.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.