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Finding the Fourth Proportional to 384,745, 530,938.20 and 214,980.52

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Solution

The fourth proportional to 384,745, 530,938.20 and 214,980.52 is: 296,667.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,745 : 530,938.20 = 214,980.52 : x
  2. Step 2: Convert to fraction form
    384,745/530,938.20 = 214,980.52/x
  3. Step 3: Cross multiply
    384,745x = 530,938.20 × 214,980.52
  4. Step 4: Simplify right side
    384,745x = 114,141,370,323.86
  5. Step 5: Solve for x
    x = 114,141,370,323.86/384,745
  6. Step 6: Final answer
    x = 296,667.59

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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.