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Finding the Fourth Proportional to 419,113.33, 628,663.85 and 103,570.24

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Solution

The fourth proportional to 419,113.33, 628,663.85 and 103,570.24 is: 155,353.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,113.33 : 628,663.85 = 103,570.24 : x
  2. Step 2: Convert to fraction form
    419,113.33/628,663.85 = 103,570.24/x
  3. Step 3: Cross multiply
    419,113.33x = 628,663.85 × 103,570.24
  4. Step 4: Simplify right side
    419,113.33x = 65,110,863,734.31
  5. Step 5: Solve for x
    x = 65,110,863,734.31/419,113.33
  6. Step 6: Final answer
    x = 155,353.84

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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.