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Finding the Fourth Proportional to 628,120, 941,766.56 and 414,235.78

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Solution

The fourth proportional to 628,120, 941,766.56 and 414,235.78 is: 621,081.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,120 : 941,766.56 = 414,235.78 : x
  2. Step 2: Convert to fraction form
    628,120/941,766.56 = 414,235.78/x
  3. Step 3: Cross multiply
    628,120x = 941,766.56 × 414,235.78
  4. Step 4: Simplify right side
    628,120x = 390,113,405,559.52
  5. Step 5: Solve for x
    x = 390,113,405,559.52/628,120
  6. Step 6: Final answer
    x = 621,081.01

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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.