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Finding the Fourth Proportional to 389,398.86, 537,613.68 and 298,580.34

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Solution

The fourth proportional to 389,398.86, 537,613.68 and 298,580.34 is: 412,227.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,398.86 : 537,613.68 = 298,580.34 : x
  2. Step 2: Convert to fraction form
    389,398.86/537,613.68 = 298,580.34/x
  3. Step 3: Cross multiply
    389,398.86x = 537,613.68 × 298,580.34
  4. Step 4: Simplify right side
    389,398.86x = 160,520,875,363.05
  5. Step 5: Solve for x
    x = 160,520,875,363.05/389,398.86
  6. Step 6: Final answer
    x = 412,227.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.