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Finding the Fourth Proportional to 308,727.40, 463,091.10 and 151,263.40

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Solution

The fourth proportional to 308,727.40, 463,091.10 and 151,263.40 is: 226,895.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,727.40 : 463,091.10 = 151,263.40 : x
  2. Step 2: Convert to fraction form
    308,727.40/463,091.10 = 151,263.40/x
  3. Step 3: Cross multiply
    308,727.40x = 463,091.10 × 151,263.40
  4. Step 4: Simplify right side
    308,727.40x = 70,048,734,295.74
  5. Step 5: Solve for x
    x = 70,048,734,295.74/308,727.40
  6. Step 6: Final answer
    x = 226,895.10

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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.