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Finding the Fourth Proportional to 468,744.84, 703,204.74 and 153,423.18

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Solution

The fourth proportional to 468,744.84, 703,204.74 and 153,423.18 is: 230,163.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,744.84 : 703,204.74 = 153,423.18 : x
  2. Step 2: Convert to fraction form
    468,744.84/703,204.74 = 153,423.18/x
  3. Step 3: Cross multiply
    468,744.84x = 703,204.74 × 153,423.18
  4. Step 4: Simplify right side
    468,744.84x = 107,887,907,401.87
  5. Step 5: Solve for x
    x = 107,887,907,401.87/468,744.84
  6. Step 6: Final answer
    x = 230,163.40

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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.