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Finding the Fourth Proportional to 310,082.60, 464,467.80 and 310,082.60

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Solution

The fourth proportional to 310,082.60, 464,467.80 and 310,082.60 is: 464,467.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,082.60 : 464,467.80 = 310,082.60 : x
  2. Step 2: Convert to fraction form
    310,082.60/464,467.80 = 310,082.60/x
  3. Step 3: Cross multiply
    310,082.60x = 464,467.80 × 310,082.60
  4. Step 4: Simplify right side
    310,082.60x = 144,023,383,040.28
  5. Step 5: Solve for x
    x = 144,023,383,040.28/310,082.60
  6. Step 6: Final answer
    x = 464,467.80

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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.