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Finding the Fourth Proportional to 216,004.80, 324,007.20 and 200,258.40

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Solution

The fourth proportional to 216,004.80, 324,007.20 and 200,258.40 is: 300,387.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,004.80 : 324,007.20 = 200,258.40 : x
  2. Step 2: Convert to fraction form
    216,004.80/324,007.20 = 200,258.40/x
  3. Step 3: Cross multiply
    216,004.80x = 324,007.20 × 200,258.40
  4. Step 4: Simplify right side
    216,004.80x = 64,885,163,460.48
  5. Step 5: Solve for x
    x = 64,885,163,460.48/216,004.80
  6. Step 6: Final answer
    x = 300,387.60

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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.