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Finding the Fourth Proportional to 364,853.12, 546,907.62 and 206,747.60

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Solution

The fourth proportional to 364,853.12, 546,907.62 and 206,747.60 is: 309,910.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,853.12 : 546,907.62 = 206,747.60 : x
  2. Step 2: Convert to fraction form
    364,853.12/546,907.62 = 206,747.60/x
  3. Step 3: Cross multiply
    364,853.12x = 546,907.62 × 206,747.60
  4. Step 4: Simplify right side
    364,853.12x = 113,071,837,856.71
  5. Step 5: Solve for x
    x = 113,071,837,856.71/364,853.12
  6. Step 6: Final answer
    x = 309,910.57

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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.