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Finding the Fourth Proportional to 413,065.23, 619,548.63 and 113,576.23

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Solution

The fourth proportional to 413,065.23, 619,548.63 and 113,576.23 is: 170,350.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,065.23 : 619,548.63 = 113,576.23 : x
  2. Step 2: Convert to fraction form
    413,065.23/619,548.63 = 113,576.23/x
  3. Step 3: Cross multiply
    413,065.23x = 619,548.63 × 113,576.23
  4. Step 4: Simplify right side
    413,065.23x = 70,365,997,697.06
  5. Step 5: Solve for x
    x = 70,365,997,697.06/413,065.23
  6. Step 6: Final answer
    x = 170,350.81

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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.