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Finding the Fourth Proportional to 367,046.29, 549,683.70 and 208,794.97

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Solution

The fourth proportional to 367,046.29, 549,683.70 and 208,794.97 is: 312,688.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,046.29 : 549,683.70 = 208,794.97 : x
  2. Step 2: Convert to fraction form
    367,046.29/549,683.70 = 208,794.97/x
  3. Step 3: Cross multiply
    367,046.29x = 549,683.70 × 208,794.97
  4. Step 4: Simplify right side
    367,046.29x = 114,771,191,650.99
  5. Step 5: Solve for x
    x = 114,771,191,650.99/367,046.29
  6. Step 6: Final answer
    x = 312,688.60

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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.