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Finding the Fourth Proportional to 413,099.23, 619,222.56 and 173,352.39

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Solution

The fourth proportional to 413,099.23, 619,222.56 and 173,352.39 is: 259,849.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,099.23 : 619,222.56 = 173,352.39 : x
  2. Step 2: Convert to fraction form
    413,099.23/619,222.56 = 173,352.39/x
  3. Step 3: Cross multiply
    413,099.23x = 619,222.56 × 173,352.39
  4. Step 4: Simplify right side
    413,099.23x = 107,343,707,621.81
  5. Step 5: Solve for x
    x = 107,343,707,621.81/413,099.23
  6. Step 6: Final answer
    x = 259,849.69

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1.5x scale

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.