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Finding the Fourth Proportional to 229,823.60, 344,735.40 and 213,234.80

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Solution

The fourth proportional to 229,823.60, 344,735.40 and 213,234.80 is: 319,852.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,823.60 : 344,735.40 = 213,234.80 : x
  2. Step 2: Convert to fraction form
    229,823.60/344,735.40 = 213,234.80/x
  3. Step 3: Cross multiply
    229,823.60x = 344,735.40 × 213,234.80
  4. Step 4: Simplify right side
    229,823.60x = 73,509,584,071.92
  5. Step 5: Solve for x
    x = 73,509,584,071.92/229,823.60
  6. Step 6: Final answer
    x = 319,852.20

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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.