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Finding the Fourth Proportional to 462,010.50, 693,292.23 and 199,354.50

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Solution

The fourth proportional to 462,010.50, 693,292.23 and 199,354.50 is: 299,151.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,010.50 : 693,292.23 = 199,354.50 : x
  2. Step 2: Convert to fraction form
    462,010.50/693,292.23 = 199,354.50/x
  3. Step 3: Cross multiply
    462,010.50x = 693,292.23 × 199,354.50
  4. Step 4: Simplify right side
    462,010.50x = 138,210,925,865.54
  5. Step 5: Solve for x
    x = 138,210,925,865.54/462,010.50
  6. Step 6: Final answer
    x = 299,151.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.