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Finding the Fourth Proportional to 513,411.68, 770,220.23 and 158,412.38

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Solution

The fourth proportional to 513,411.68, 770,220.23 and 158,412.38 is: 237,650.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,411.68 : 770,220.23 = 158,412.38 : x
  2. Step 2: Convert to fraction form
    513,411.68/770,220.23 = 158,412.38/x
  3. Step 3: Cross multiply
    513,411.68x = 770,220.23 × 158,412.38
  4. Step 4: Simplify right side
    513,411.68x = 122,012,415,115.28
  5. Step 5: Solve for x
    x = 122,012,415,115.28/513,411.68
  6. Step 6: Final answer
    x = 237,650.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.