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Finding the Fourth Proportional to 308,002.10, 461,657.55 and 174,946.10

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Solution

The fourth proportional to 308,002.10, 461,657.55 and 174,946.10 is: 262,222.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,002.10 : 461,657.55 = 174,946.10 : x
  2. Step 2: Convert to fraction form
    308,002.10/461,657.55 = 174,946.10/x
  3. Step 3: Cross multiply
    308,002.10x = 461,657.55 × 174,946.10
  4. Step 4: Simplify right side
    308,002.10x = 80,765,187,908.06
  5. Step 5: Solve for x
    x = 80,765,187,908.06/308,002.10
  6. Step 6: Final answer
    x = 262,222.85

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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.