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Finding the Fourth Proportional to 366,942.80, 549,733.80 and 208,701.20

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Solution

The fourth proportional to 366,942.80, 549,733.80 and 208,701.20 is: 312,664.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,942.80 : 549,733.80 = 208,701.20 : x
  2. Step 2: Convert to fraction form
    366,942.80/549,733.80 = 208,701.20/x
  3. Step 3: Cross multiply
    366,942.80x = 549,733.80 × 208,701.20
  4. Step 4: Simplify right side
    366,942.80x = 114,730,103,740.56
  5. Step 5: Solve for x
    x = 114,730,103,740.56/366,942.80
  6. Step 6: Final answer
    x = 312,664.82

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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.