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Finding the Fourth Proportional to 217,347.60, 326,021.40 and 209,474.40

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Solution

The fourth proportional to 217,347.60, 326,021.40 and 209,474.40 is: 314,211.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,347.60 : 326,021.40 = 209,474.40 : x
  2. Step 2: Convert to fraction form
    217,347.60/326,021.40 = 209,474.40/x
  3. Step 3: Cross multiply
    217,347.60x = 326,021.40 × 209,474.40
  4. Step 4: Simplify right side
    217,347.60x = 68,293,137,152.16
  5. Step 5: Solve for x
    x = 68,293,137,152.16/217,347.60
  6. Step 6: Final answer
    x = 314,211.60

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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.