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Finding the Fourth Proportional to 525,096.40, 787,644.60 and 420,120.40

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Solution

The fourth proportional to 525,096.40, 787,644.60 and 420,120.40 is: 630,180.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,096.40 : 787,644.60 = 420,120.40 : x
  2. Step 2: Convert to fraction form
    525,096.40/787,644.60 = 420,120.40/x
  3. Step 3: Cross multiply
    525,096.40x = 787,644.60 × 420,120.40
  4. Step 4: Simplify right side
    525,096.40x = 330,905,564,409.84
  5. Step 5: Solve for x
    x = 330,905,564,409.84/525,096.40
  6. Step 6: Final answer
    x = 630,180.60

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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.