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Finding the Fourth Proportional to 384,173.44, 530,159.70 and 214,407.52

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Solution

The fourth proportional to 384,173.44, 530,159.70 and 214,407.52 is: 295,882.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,173.44 : 530,159.70 = 214,407.52 : x
  2. Step 2: Convert to fraction form
    384,173.44/530,159.70 = 214,407.52/x
  3. Step 3: Cross multiply
    384,173.44x = 530,159.70 × 214,407.52
  4. Step 4: Simplify right side
    384,173.44x = 113,670,226,480.94
  5. Step 5: Solve for x
    x = 113,670,226,480.94/384,173.44
  6. Step 6: Final answer
    x = 295,882.57

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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.