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Finding the Fourth Proportional to 384,166.65, 530,203.41 and 214,411.71

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Solution

The fourth proportional to 384,166.65, 530,203.41 and 214,411.71 is: 295,917.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,166.65 : 530,203.41 = 214,411.71 : x
  2. Step 2: Convert to fraction form
    384,166.65/530,203.41 = 214,411.71/x
  3. Step 3: Cross multiply
    384,166.65x = 530,203.41 × 214,411.71
  4. Step 4: Simplify right side
    384,166.65x = 113,681,819,785.93
  5. Step 5: Solve for x
    x = 113,681,819,785.93/384,166.65
  6. Step 6: Final answer
    x = 295,917.98

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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.