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Finding the Fourth Proportional to 366,814.98, 549,409.50 and 281,950.20

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Solution

The fourth proportional to 366,814.98, 549,409.50 and 281,950.20 is: 422,300.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,814.98 : 549,409.50 = 281,950.20 : x
  2. Step 2: Convert to fraction form
    366,814.98/549,409.50 = 281,950.20/x
  3. Step 3: Cross multiply
    366,814.98x = 549,409.50 × 281,950.20
  4. Step 4: Simplify right side
    366,814.98x = 154,906,118,406.90
  5. Step 5: Solve for x
    x = 154,906,118,406.90/366,814.98
  6. Step 6: Final answer
    x = 422,300.42

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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.