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Finding the Fourth Proportional to 229,297.44, 343,461.60 and 145,014.24

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Solution

The fourth proportional to 229,297.44, 343,461.60 and 145,014.24 is: 217,214.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,297.44 : 343,461.60 = 145,014.24 : x
  2. Step 2: Convert to fraction form
    229,297.44/343,461.60 = 145,014.24/x
  3. Step 3: Cross multiply
    229,297.44x = 343,461.60 × 145,014.24
  4. Step 4: Simplify right side
    229,297.44x = 49,806,822,893.18
  5. Step 5: Solve for x
    x = 49,806,822,893.18/229,297.44
  6. Step 6: Final answer
    x = 217,214.91

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1.5x scale

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.