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Finding the Fourth Proportional to 366,950.56, 549,539.16 and 208,699.24

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Solution

The fourth proportional to 366,950.56, 549,539.16 and 208,699.24 is: 312,544.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,950.56 : 549,539.16 = 208,699.24 : x
  2. Step 2: Convert to fraction form
    366,950.56/549,539.16 = 208,699.24/x
  3. Step 3: Cross multiply
    366,950.56x = 549,539.16 × 208,699.24
  4. Step 4: Simplify right side
    366,950.56x = 114,688,405,042.24
  5. Step 5: Solve for x
    x = 114,688,405,042.24/366,950.56
  6. Step 6: Final answer
    x = 312,544.57

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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.