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Finding the Fourth Proportional to 435,840.30, 653,822.82 and 211,016.16

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Solution

The fourth proportional to 435,840.30, 653,822.82 and 211,016.16 is: 316,554.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,840.30 : 653,822.82 = 211,016.16 : x
  2. Step 2: Convert to fraction form
    435,840.30/653,822.82 = 211,016.16/x
  3. Step 3: Cross multiply
    435,840.30x = 653,822.82 × 211,016.16
  4. Step 4: Simplify right side
    435,840.30x = 137,967,180,796.77
  5. Step 5: Solve for x
    x = 137,967,180,796.77/435,840.30
  6. Step 6: Final answer
    x = 316,554.44

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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.