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Finding the Fourth Proportional to 540,611, 810,919.38 and 146,627

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Solution

The fourth proportional to 540,611, 810,919.38 and 146,627 is: 219,941.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,611 : 810,919.38 = 146,627 : x
  2. Step 2: Convert to fraction form
    540,611/810,919.38 = 146,627/x
  3. Step 3: Cross multiply
    540,611x = 810,919.38 × 146,627
  4. Step 4: Simplify right side
    540,611x = 118,902,675,931.26
  5. Step 5: Solve for x
    x = 118,902,675,931.26/540,611
  6. Step 6: Final answer
    x = 219,941.28

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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.