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Finding the Fourth Proportional to 601,843.50, 830,544.03 and 333,571.50

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Solution

The fourth proportional to 601,843.50, 830,544.03 and 333,571.50 is: 460,328.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,843.50 : 830,544.03 = 333,571.50 : x
  2. Step 2: Convert to fraction form
    601,843.50/830,544.03 = 333,571.50/x
  3. Step 3: Cross multiply
    601,843.50x = 830,544.03 × 333,571.50
  4. Step 4: Simplify right side
    601,843.50x = 277,045,817,903.15
  5. Step 5: Solve for x
    x = 277,045,817,903.15/601,843.50
  6. Step 6: Final answer
    x = 460,328.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.