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Finding the Fourth Proportional to 536,278.86, 740,032.11 and 294,514.38

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Solution

The fourth proportional to 536,278.86, 740,032.11 and 294,514.38 is: 406,411.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,278.86 : 740,032.11 = 294,514.38 : x
  2. Step 2: Convert to fraction form
    536,278.86/740,032.11 = 294,514.38/x
  3. Step 3: Cross multiply
    536,278.86x = 740,032.11 × 294,514.38
  4. Step 4: Simplify right side
    536,278.86x = 217,950,098,056.74
  5. Step 5: Solve for x
    x = 217,950,098,056.74/536,278.86
  6. Step 6: Final answer
    x = 406,411.88

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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.