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Finding the Fourth Proportional to 230,063.40, 345,095.10 and 213,474.60

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Solution

The fourth proportional to 230,063.40, 345,095.10 and 213,474.60 is: 320,211.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,063.40 : 345,095.10 = 213,474.60 : x
  2. Step 2: Convert to fraction form
    230,063.40/345,095.10 = 213,474.60/x
  3. Step 3: Cross multiply
    230,063.40x = 345,095.10 × 213,474.60
  4. Step 4: Simplify right side
    230,063.40x = 73,669,038,434.46
  5. Step 5: Solve for x
    x = 73,669,038,434.46/230,063.40
  6. Step 6: Final answer
    x = 320,211.90

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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.