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Finding the Fourth Proportional to 280,458.83, 386,836.80 and 189,774.88

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Solution

The fourth proportional to 280,458.83, 386,836.80 and 189,774.88 is: 261,756.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,458.83 : 386,836.80 = 189,774.88 : x
  2. Step 2: Convert to fraction form
    280,458.83/386,836.80 = 189,774.88/x
  3. Step 3: Cross multiply
    280,458.83x = 386,836.80 × 189,774.88
  4. Step 4: Simplify right side
    280,458.83x = 73,411,905,620.84
  5. Step 5: Solve for x
    x = 73,411,905,620.84/280,458.83
  6. Step 6: Final answer
    x = 261,756.44

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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.