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Finding the Fourth Proportional to 300,046.63, 450,291.47 and 142,275.64

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Solution

The fourth proportional to 300,046.63, 450,291.47 and 142,275.64 is: 213,518.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,046.63 : 450,291.47 = 142,275.64 : x
  2. Step 2: Convert to fraction form
    300,046.63/450,291.47 = 142,275.64/x
  3. Step 3: Cross multiply
    300,046.63x = 450,291.47 × 142,275.64
  4. Step 4: Simplify right side
    300,046.63x = 64,065,505,185.02
  5. Step 5: Solve for x
    x = 64,065,505,185.02/300,046.63
  6. Step 6: Final answer
    x = 213,518.50

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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.