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Finding the Fourth Proportional to 307,276.90, 460,915.35 and 181,305.70

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Solution

The fourth proportional to 307,276.90, 460,915.35 and 181,305.70 is: 271,958.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,276.90 : 460,915.35 = 181,305.70 : x
  2. Step 2: Convert to fraction form
    307,276.90/460,915.35 = 181,305.70/x
  3. Step 3: Cross multiply
    307,276.90x = 460,915.35 × 181,305.70
  4. Step 4: Simplify right side
    307,276.90x = 83,566,580,172.50
  5. Step 5: Solve for x
    x = 83,566,580,172.50/307,276.90
  6. Step 6: Final answer
    x = 271,958.55

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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.