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Finding the Fourth Proportional to 384,350.12, 530,368.26 and 214,553

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Solution

The fourth proportional to 384,350.12, 530,368.26 and 214,553 is: 296,063.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,350.12 : 530,368.26 = 214,553 : x
  2. Step 2: Convert to fraction form
    384,350.12/530,368.26 = 214,553/x
  3. Step 3: Cross multiply
    384,350.12x = 530,368.26 × 214,553
  4. Step 4: Simplify right side
    384,350.12x = 113,792,101,287.78
  5. Step 5: Solve for x
    x = 113,792,101,287.78/384,350.12
  6. Step 6: Final answer
    x = 296,063.65

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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.