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Finding the Fourth Proportional to 338,020.44, 507,000.42 and 101,415.96

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Solution

The fourth proportional to 338,020.44, 507,000.42 and 101,415.96 is: 152,114.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,020.44 : 507,000.42 = 101,415.96 : x
  2. Step 2: Convert to fraction form
    338,020.44/507,000.42 = 101,415.96/x
  3. Step 3: Cross multiply
    338,020.44x = 507,000.42 × 101,415.96
  4. Step 4: Simplify right side
    338,020.44x = 51,417,934,314.70
  5. Step 5: Solve for x
    x = 51,417,934,314.70/338,020.44
  6. Step 6: Final answer
    x = 152,114.87

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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.