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Finding the Fourth Proportional to 216,046.40, 324,069.60 and 202,222.40

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Solution

The fourth proportional to 216,046.40, 324,069.60 and 202,222.40 is: 303,333.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,046.40 : 324,069.60 = 202,222.40 : x
  2. Step 2: Convert to fraction form
    216,046.40/324,069.60 = 202,222.40/x
  3. Step 3: Cross multiply
    216,046.40x = 324,069.60 × 202,222.40
  4. Step 4: Simplify right side
    216,046.40x = 65,534,132,279.04
  5. Step 5: Solve for x
    x = 65,534,132,279.04/216,046.40
  6. Step 6: Final answer
    x = 303,333.60

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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.