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Finding the Fourth Proportional to 302,824.94, 454,308.04 and 100,406.23

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Solution

The fourth proportional to 302,824.94, 454,308.04 and 100,406.23 is: 150,632.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,824.94 : 454,308.04 = 100,406.23 : x
  2. Step 2: Convert to fraction form
    302,824.94/454,308.04 = 100,406.23/x
  3. Step 3: Cross multiply
    302,824.94x = 454,308.04 × 100,406.23
  4. Step 4: Simplify right side
    302,824.94x = 45,615,359,100.31
  5. Step 5: Solve for x
    x = 45,615,359,100.31/302,824.94
  6. Step 6: Final answer
    x = 150,632.77

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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.