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Finding the Fourth Proportional to 375,941.69, 518,826.99 and 214,793.28

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Solution

The fourth proportional to 375,941.69, 518,826.99 and 214,793.28 is: 296,430.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,941.69 : 518,826.99 = 214,793.28 : x
  2. Step 2: Convert to fraction form
    375,941.69/518,826.99 = 214,793.28/x
  3. Step 3: Cross multiply
    375,941.69x = 518,826.99 × 214,793.28
  4. Step 4: Simplify right side
    375,941.69x = 111,440,550,934.63
  5. Step 5: Solve for x
    x = 111,440,550,934.63/375,941.69
  6. Step 6: Final answer
    x = 296,430.42

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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.