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Finding the Fourth Proportional to 468,975.62, 703,470.35 and 149,176.85

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Solution

The fourth proportional to 468,975.62, 703,470.35 and 149,176.85 is: 223,767.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,975.62 : 703,470.35 = 149,176.85 : x
  2. Step 2: Convert to fraction form
    468,975.62/703,470.35 = 149,176.85/x
  3. Step 3: Cross multiply
    468,975.62x = 703,470.35 × 149,176.85
  4. Step 4: Simplify right side
    468,975.62x = 104,941,490,135.51
  5. Step 5: Solve for x
    x = 104,941,490,135.51/468,975.62
  6. Step 6: Final answer
    x = 223,767.47

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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.