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Finding the Fourth Proportional to 584,536.42, 806,430.74 and 339,479.46

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Solution

The fourth proportional to 584,536.42, 806,430.74 and 339,479.46 is: 468,348.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,536.42 : 806,430.74 = 339,479.46 : x
  2. Step 2: Convert to fraction form
    584,536.42/806,430.74 = 339,479.46/x
  3. Step 3: Cross multiply
    584,536.42x = 806,430.74 × 339,479.46
  4. Step 4: Simplify right side
    584,536.42x = 273,766,672,991.30
  5. Step 5: Solve for x
    x = 273,766,672,991.30/584,536.42
  6. Step 6: Final answer
    x = 468,348.36

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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.