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Finding the Fourth Proportional to 264,290.28, 364,735.28 and 149,574.84

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Solution

The fourth proportional to 264,290.28, 364,735.28 and 149,574.84 is: 206,421.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,290.28 : 364,735.28 = 149,574.84 : x
  2. Step 2: Convert to fraction form
    264,290.28/364,735.28 = 149,574.84/x
  3. Step 3: Cross multiply
    264,290.28x = 364,735.28 × 149,574.84
  4. Step 4: Simplify right side
    264,290.28x = 54,555,221,148.36
  5. Step 5: Solve for x
    x = 54,555,221,148.36/264,290.28
  6. Step 6: Final answer
    x = 206,421.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.