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Finding the Fourth Proportional to 270,213.22, 405,320.01 and 70,533.10

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Solution

The fourth proportional to 270,213.22, 405,320.01 and 70,533.10 is: 105,799.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,213.22 : 405,320.01 = 70,533.10 : x
  2. Step 2: Convert to fraction form
    270,213.22/405,320.01 = 70,533.10/x
  3. Step 3: Cross multiply
    270,213.22x = 405,320.01 × 70,533.10
  4. Step 4: Simplify right side
    270,213.22x = 28,588,476,797.33
  5. Step 5: Solve for x
    x = 28,588,476,797.33/270,213.22
  6. Step 6: Final answer
    x = 105,799.70

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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.