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Finding the Fourth Proportional to 547,058.09, 820,025.80 and 210,007.98

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Solution

The fourth proportional to 547,058.09, 820,025.80 and 210,007.98 is: 314,796.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,058.09 : 820,025.80 = 210,007.98 : x
  2. Step 2: Convert to fraction form
    547,058.09/820,025.80 = 210,007.98/x
  3. Step 3: Cross multiply
    547,058.09x = 820,025.80 × 210,007.98
  4. Step 4: Simplify right side
    547,058.09x = 172,211,961,805.88
  5. Step 5: Solve for x
    x = 172,211,961,805.88/547,058.09
  6. Step 6: Final answer
    x = 314,796.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.