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Finding the Fourth Proportional to 563,712.12, 777,813.18 and 334,227

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Solution

The fourth proportional to 563,712.12, 777,813.18 and 334,227 is: 461,168.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,712.12 : 777,813.18 = 334,227 : x
  2. Step 2: Convert to fraction form
    563,712.12/777,813.18 = 334,227/x
  3. Step 3: Cross multiply
    563,712.12x = 777,813.18 × 334,227
  4. Step 4: Simplify right side
    563,712.12x = 259,966,165,711.86
  5. Step 5: Solve for x
    x = 259,966,165,711.86/563,712.12
  6. Step 6: Final answer
    x = 461,168.31

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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.