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Finding the Fourth Proportional to 273,213.40, 409,820.10 and 238,221.40

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Solution

The fourth proportional to 273,213.40, 409,820.10 and 238,221.40 is: 357,332.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,213.40 : 409,820.10 = 238,221.40 : x
  2. Step 2: Convert to fraction form
    273,213.40/409,820.10 = 238,221.40/x
  3. Step 3: Cross multiply
    273,213.40x = 409,820.10 × 238,221.40
  4. Step 4: Simplify right side
    273,213.40x = 97,627,917,970.14
  5. Step 5: Solve for x
    x = 97,627,917,970.14/273,213.40
  6. Step 6: Final answer
    x = 357,332.10

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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.