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Finding the Fourth Proportional to 384,179.51, 530,237.12 and 229,140.74

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Solution

The fourth proportional to 384,179.51, 530,237.12 and 229,140.74 is: 316,255.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,179.51 : 530,237.12 = 229,140.74 : x
  2. Step 2: Convert to fraction form
    384,179.51/530,237.12 = 229,140.74/x
  3. Step 3: Cross multiply
    384,179.51x = 530,237.12 × 229,140.74
  4. Step 4: Simplify right side
    384,179.51x = 121,498,922,255.38
  5. Step 5: Solve for x
    x = 121,498,922,255.38/384,179.51
  6. Step 6: Final answer
    x = 316,255.61

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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.