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Finding the Fourth Proportional to 413,137.84, 570,151.96 and 231,840.40

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Solution

The fourth proportional to 413,137.84, 570,151.96 and 231,840.40 is: 319,951.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,137.84 : 570,151.96 = 231,840.40 : x
  2. Step 2: Convert to fraction form
    413,137.84/570,151.96 = 231,840.40/x
  3. Step 3: Cross multiply
    413,137.84x = 570,151.96 × 231,840.40
  4. Step 4: Simplify right side
    413,137.84x = 132,184,258,467.18
  5. Step 5: Solve for x
    x = 132,184,258,467.18/413,137.84
  6. Step 6: Final answer
    x = 319,951.95

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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.