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Finding the Fourth Proportional to 459,069.44, 633,477.12 and 280,186.88

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Solution

The fourth proportional to 459,069.44, 633,477.12 and 280,186.88 is: 386,634.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,069.44 : 633,477.12 = 280,186.88 : x
  2. Step 2: Convert to fraction form
    459,069.44/633,477.12 = 280,186.88/x
  3. Step 3: Cross multiply
    459,069.44x = 633,477.12 × 280,186.88
  4. Step 4: Simplify right side
    459,069.44x = 177,491,977,804.19
  5. Step 5: Solve for x
    x = 177,491,977,804.19/459,069.44
  6. Step 6: Final answer
    x = 386,634.27

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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.