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Finding the Fourth Proportional to 384,079.19, 530,028.87 and 214,313.33

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Solution

The fourth proportional to 384,079.19, 530,028.87 and 214,313.33 is: 295,752.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,079.19 : 530,028.87 = 214,313.33 : x
  2. Step 2: Convert to fraction form
    384,079.19/530,028.87 = 214,313.33/x
  3. Step 3: Cross multiply
    384,079.19x = 530,028.87 × 214,313.33
  4. Step 4: Simplify right side
    384,079.19x = 113,592,252,125.84
  5. Step 5: Solve for x
    x = 113,592,252,125.84/384,079.19
  6. Step 6: Final answer
    x = 295,752.17

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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.