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Finding the Fourth Proportional to 563,721.12, 777,825.60 and 334,236

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Solution

The fourth proportional to 563,721.12, 777,825.60 and 334,236 is: 461,180.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,721.12 : 777,825.60 = 334,236 : x
  2. Step 2: Convert to fraction form
    563,721.12/777,825.60 = 334,236/x
  3. Step 3: Cross multiply
    563,721.12x = 777,825.60 × 334,236
  4. Step 4: Simplify right side
    563,721.12x = 259,977,317,241.60
  5. Step 5: Solve for x
    x = 259,977,317,241.60/563,721.12
  6. Step 6: Final answer
    x = 461,180.73

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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.