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Finding the Fourth Proportional to 350,257.29, 525,399.78 and 97,559.87

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Solution

The fourth proportional to 350,257.29, 525,399.78 and 97,559.87 is: 146,343.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,257.29 : 525,399.78 = 97,559.87 : x
  2. Step 2: Convert to fraction form
    350,257.29/525,399.78 = 97,559.87/x
  3. Step 3: Cross multiply
    350,257.29x = 525,399.78 × 97,559.87
  4. Step 4: Simplify right side
    350,257.29x = 51,257,934,234.83
  5. Step 5: Solve for x
    x = 51,257,934,234.83/350,257.29
  6. Step 6: Final answer
    x = 146,343.66

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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.