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Finding the Fourth Proportional to 270,511.60, 405,767.40 and 146,095.60

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Solution

The fourth proportional to 270,511.60, 405,767.40 and 146,095.60 is: 219,143.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,511.60 : 405,767.40 = 146,095.60 : x
  2. Step 2: Convert to fraction form
    270,511.60/405,767.40 = 146,095.60/x
  3. Step 3: Cross multiply
    270,511.60x = 405,767.40 × 146,095.60
  4. Step 4: Simplify right side
    270,511.60x = 59,280,831,763.44
  5. Step 5: Solve for x
    x = 59,280,831,763.44/270,511.60
  6. Step 6: Final answer
    x = 219,143.40

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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.