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Finding the Fourth Proportional to 647,295.14, 892,901.49 and 405,157.34

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Solution

The fourth proportional to 647,295.14, 892,901.49 and 405,157.34 is: 558,888.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,295.14 : 892,901.49 = 405,157.34 : x
  2. Step 2: Convert to fraction form
    647,295.14/892,901.49 = 405,157.34/x
  3. Step 3: Cross multiply
    647,295.14x = 892,901.49 × 405,157.34
  4. Step 4: Simplify right side
    647,295.14x = 361,765,592,570.44
  5. Step 5: Solve for x
    x = 361,765,592,570.44/647,295.14
  6. Step 6: Final answer
    x = 558,888.16

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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.