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Finding the Fourth Proportional to 364,050.20, 546,075.30 and 206,586.20

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Solution

The fourth proportional to 364,050.20, 546,075.30 and 206,586.20 is: 309,879.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,050.20 : 546,075.30 = 206,586.20 : x
  2. Step 2: Convert to fraction form
    364,050.20/546,075.30 = 206,586.20/x
  3. Step 3: Cross multiply
    364,050.20x = 546,075.30 × 206,586.20
  4. Step 4: Simplify right side
    364,050.20x = 112,811,621,140.86
  5. Step 5: Solve for x
    x = 112,811,621,140.86/364,050.20
  6. Step 6: Final answer
    x = 309,879.30

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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.