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Finding the Fourth Proportional to 348,165.89, 522,396.51 and 190,209.81

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Solution

The fourth proportional to 348,165.89, 522,396.51 and 190,209.81 is: 285,395.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,165.89 : 522,396.51 = 190,209.81 : x
  2. Step 2: Convert to fraction form
    348,165.89/522,396.51 = 190,209.81/x
  3. Step 3: Cross multiply
    348,165.89x = 522,396.51 × 190,209.81
  4. Step 4: Simplify right side
    348,165.89x = 99,364,942,157.46
  5. Step 5: Solve for x
    x = 99,364,942,157.46/348,165.89
  6. Step 6: Final answer
    x = 285,395.40

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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.