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Finding the Fourth Proportional to 563,676.84, 777,905.91 and 334,369.89

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Solution

The fourth proportional to 563,676.84, 777,905.91 and 334,369.89 is: 461,449.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,676.84 : 777,905.91 = 334,369.89 : x
  2. Step 2: Convert to fraction form
    563,676.84/777,905.91 = 334,369.89/x
  3. Step 3: Cross multiply
    563,676.84x = 777,905.91 × 334,369.89
  4. Step 4: Simplify right side
    563,676.84x = 260,108,313,557.05
  5. Step 5: Solve for x
    x = 260,108,313,557.05/563,676.84
  6. Step 6: Final answer
    x = 461,449.35

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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.