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Finding the Fourth Proportional to 305,870.60, 458,701.32 and 116,285.24

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Solution

The fourth proportional to 305,870.60, 458,701.32 and 116,285.24 is: 174,388.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,870.60 : 458,701.32 = 116,285.24 : x
  2. Step 2: Convert to fraction form
    305,870.60/458,701.32 = 116,285.24/x
  3. Step 3: Cross multiply
    305,870.60x = 458,701.32 × 116,285.24
  4. Step 4: Simplify right side
    305,870.60x = 53,340,193,084.52
  5. Step 5: Solve for x
    x = 53,340,193,084.52/305,870.60
  6. Step 6: Final answer
    x = 174,388.10

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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.