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Finding the Fourth Proportional to 389,670.60, 584,214.30 and 212,377.80

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Solution

The fourth proportional to 389,670.60, 584,214.30 and 212,377.80 is: 318,407.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,670.60 : 584,214.30 = 212,377.80 : x
  2. Step 2: Convert to fraction form
    389,670.60/584,214.30 = 212,377.80/x
  3. Step 3: Cross multiply
    389,670.60x = 584,214.30 × 212,377.80
  4. Step 4: Simplify right side
    389,670.60x = 124,074,147,762.54
  5. Step 5: Solve for x
    x = 124,074,147,762.54/389,670.60
  6. Step 6: Final answer
    x = 318,407.77

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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.