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Finding the Fourth Proportional to 384,603.14, 530,752.31 and 214,837.26

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Solution

The fourth proportional to 384,603.14, 530,752.31 and 214,837.26 is: 296,475.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,603.14 : 530,752.31 = 214,837.26 : x
  2. Step 2: Convert to fraction form
    384,603.14/530,752.31 = 214,837.26/x
  3. Step 3: Cross multiply
    384,603.14x = 530,752.31 × 214,837.26
  4. Step 4: Simplify right side
    384,603.14x = 114,025,373,954.14
  5. Step 5: Solve for x
    x = 114,025,373,954.14/384,603.14
  6. Step 6: Final answer
    x = 296,475.41

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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.