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Finding the Fourth Proportional to 469,825.20, 648,363.53 and 254,967.12

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Solution

The fourth proportional to 469,825.20, 648,363.53 and 254,967.12 is: 351,857.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,825.20 : 648,363.53 = 254,967.12 : x
  2. Step 2: Convert to fraction form
    469,825.20/648,363.53 = 254,967.12/x
  3. Step 3: Cross multiply
    469,825.20x = 648,363.53 × 254,967.12
  4. Step 4: Simplify right side
    469,825.20x = 165,311,381,957.13
  5. Step 5: Solve for x
    x = 165,311,381,957.13/469,825.20
  6. Step 6: Final answer
    x = 351,857.21

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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.