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Finding the Fourth Proportional to 647,680.96, 893,494.68 and 421,243.84

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Solution

The fourth proportional to 647,680.96, 893,494.68 and 421,243.84 is: 581,118.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,680.96 : 893,494.68 = 421,243.84 : x
  2. Step 2: Convert to fraction form
    647,680.96/893,494.68 = 421,243.84/x
  3. Step 3: Cross multiply
    647,680.96x = 893,494.68 × 421,243.84
  4. Step 4: Simplify right side
    647,680.96x = 376,379,130,022.77
  5. Step 5: Solve for x
    x = 376,379,130,022.77/647,680.96
  6. Step 6: Final answer
    x = 581,118.10

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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.