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Finding the Fourth Proportional to 272,365.40, 408,548.10 and 202,381.40

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Solution

The fourth proportional to 272,365.40, 408,548.10 and 202,381.40 is: 303,572.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,365.40 : 408,548.10 = 202,381.40 : x
  2. Step 2: Convert to fraction form
    272,365.40/408,548.10 = 202,381.40/x
  3. Step 3: Cross multiply
    272,365.40x = 408,548.10 × 202,381.40
  4. Step 4: Simplify right side
    272,365.40x = 82,682,536,445.34
  5. Step 5: Solve for x
    x = 82,682,536,445.34/272,365.40
  6. Step 6: Final answer
    x = 303,572.10

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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.