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Finding the Fourth Proportional to 563,241.96, 777,281.94 and 336,843.72

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Solution

The fourth proportional to 563,241.96, 777,281.94 and 336,843.72 is: 464,849.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,241.96 : 777,281.94 = 336,843.72 : x
  2. Step 2: Convert to fraction form
    563,241.96/777,281.94 = 336,843.72/x
  3. Step 3: Cross multiply
    563,241.96x = 777,281.94 × 336,843.72
  4. Step 4: Simplify right side
    563,241.96x = 261,822,540,158.42
  5. Step 5: Solve for x
    x = 261,822,540,158.42/563,241.96
  6. Step 6: Final answer
    x = 464,849.14

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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.