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Finding the Fourth Proportional to 540,420.72, 810,507.69 and 203,496.90

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Solution

The fourth proportional to 540,420.72, 810,507.69 and 203,496.90 is: 305,198.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,420.72 : 810,507.69 = 203,496.90 : x
  2. Step 2: Convert to fraction form
    540,420.72/810,507.69 = 203,496.90/x
  3. Step 3: Cross multiply
    540,420.72x = 810,507.69 × 203,496.90
  4. Step 4: Simplify right side
    540,420.72x = 164,935,802,341.16
  5. Step 5: Solve for x
    x = 164,935,802,341.16/540,420.72
  6. Step 6: Final answer
    x = 305,198.89

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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.