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Finding the Fourth Proportional to 384,208.77, 530,186.54 and 214,453.83

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Solution

The fourth proportional to 384,208.77, 530,186.54 and 214,453.83 is: 295,934.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,208.77 : 530,186.54 = 214,453.83 : x
  2. Step 2: Convert to fraction form
    384,208.77/530,186.54 = 214,453.83/x
  3. Step 3: Cross multiply
    384,208.77x = 530,186.54 × 214,453.83
  4. Step 4: Simplify right side
    384,208.77x = 113,700,533,045.18
  5. Step 5: Solve for x
    x = 113,700,533,045.18/384,208.77
  6. Step 6: Final answer
    x = 295,934.25

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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.