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Finding the Fourth Proportional to 364,246.20, 546,369.30 and 206,782.20

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Solution

The fourth proportional to 364,246.20, 546,369.30 and 206,782.20 is: 310,173.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,246.20 : 546,369.30 = 206,782.20 : x
  2. Step 2: Convert to fraction form
    364,246.20/546,369.30 = 206,782.20/x
  3. Step 3: Cross multiply
    364,246.20x = 546,369.30 × 206,782.20
  4. Step 4: Simplify right side
    364,246.20x = 112,979,445,866.46
  5. Step 5: Solve for x
    x = 112,979,445,866.46/364,246.20
  6. Step 6: Final answer
    x = 310,173.30

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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.