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Finding the Fourth Proportional to 552,678, 829,017.22 and 197,670.80

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Solution

The fourth proportional to 552,678, 829,017.22 and 197,670.80 is: 296,506.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,678 : 829,017.22 = 197,670.80 : x
  2. Step 2: Convert to fraction form
    552,678/829,017.22 = 197,670.80/x
  3. Step 3: Cross multiply
    552,678x = 829,017.22 × 197,670.80
  4. Step 4: Simplify right side
    552,678x = 163,872,497,091.18
  5. Step 5: Solve for x
    x = 163,872,497,091.18/552,678
  6. Step 6: Final answer
    x = 296,506.28

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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.