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Finding the Fourth Proportional to 468,908.51, 703,422.37 and 148,946.23

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Solution

The fourth proportional to 468,908.51, 703,422.37 and 148,946.23 is: 223,438.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,908.51 : 703,422.37 = 148,946.23 : x
  2. Step 2: Convert to fraction form
    468,908.51/703,422.37 = 148,946.23/x
  3. Step 3: Cross multiply
    468,908.51x = 703,422.37 × 148,946.23
  4. Step 4: Simplify right side
    468,908.51x = 104,772,105,847.32
  5. Step 5: Solve for x
    x = 104,772,105,847.32/468,908.51
  6. Step 6: Final answer
    x = 223,438.27

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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.