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Finding the Fourth Proportional to 435,218.34, 600,447.33 and 284,402.82

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Solution

The fourth proportional to 435,218.34, 600,447.33 and 284,402.82 is: 392,375.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,218.34 : 600,447.33 = 284,402.82 : x
  2. Step 2: Convert to fraction form
    435,218.34/600,447.33 = 284,402.82/x
  3. Step 3: Cross multiply
    435,218.34x = 600,447.33 × 284,402.82
  4. Step 4: Simplify right side
    435,218.34x = 170,768,913,913.47
  5. Step 5: Solve for x
    x = 170,768,913,913.47/435,218.34
  6. Step 6: Final answer
    x = 392,375.27

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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.