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Finding the Fourth Proportional to 532,171, 798,361.66 and 195,214.78

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Solution

The fourth proportional to 532,171, 798,361.66 and 195,214.78 is: 292,860.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,171 : 798,361.66 = 195,214.78 : x
  2. Step 2: Convert to fraction form
    532,171/798,361.66 = 195,214.78/x
  3. Step 3: Cross multiply
    532,171x = 798,361.66 × 195,214.78
  4. Step 4: Simplify right side
    532,171x = 155,851,995,817.34
  5. Step 5: Solve for x
    x = 155,851,995,817.34/532,171
  6. Step 6: Final answer
    x = 292,860.75

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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.