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Finding the Fourth Proportional to 314,571.40, 471,922.62 and 104,225.80

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Solution

The fourth proportional to 314,571.40, 471,922.62 and 104,225.80 is: 156,360.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,571.40 : 471,922.62 = 104,225.80 : x
  2. Step 2: Convert to fraction form
    314,571.40/471,922.62 = 104,225.80/x
  3. Step 3: Cross multiply
    314,571.40x = 471,922.62 × 104,225.80
  4. Step 4: Simplify right side
    314,571.40x = 49,186,512,607.60
  5. Step 5: Solve for x
    x = 49,186,512,607.60/314,571.40
  6. Step 6: Final answer
    x = 156,360.41

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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.