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Finding the Fourth Proportional to 552,705.40, 829,058.10 and 197,747.20

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Solution

The fourth proportional to 552,705.40, 829,058.10 and 197,747.20 is: 296,620.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,705.40 : 829,058.10 = 197,747.20 : x
  2. Step 2: Convert to fraction form
    552,705.40/829,058.10 = 197,747.20/x
  3. Step 3: Cross multiply
    552,705.40x = 829,058.10 × 197,747.20
  4. Step 4: Simplify right side
    552,705.40x = 163,943,917,912.32
  5. Step 5: Solve for x
    x = 163,943,917,912.32/552,705.40
  6. Step 6: Final answer
    x = 296,620.80

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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.