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Finding the Fourth Proportional to 650,156.40, 975,234.60 and 414,543.60

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Solution

The fourth proportional to 650,156.40, 975,234.60 and 414,543.60 is: 621,815.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,156.40 : 975,234.60 = 414,543.60 : x
  2. Step 2: Convert to fraction form
    650,156.40/975,234.60 = 414,543.60/x
  3. Step 3: Cross multiply
    650,156.40x = 975,234.60 × 414,543.60
  4. Step 4: Simplify right side
    650,156.40x = 404,277,261,928.56
  5. Step 5: Solve for x
    x = 404,277,261,928.56/650,156.40
  6. Step 6: Final answer
    x = 621,815.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.