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Finding the Fourth Proportional to 584,042.63, 805,978.82 and 315,770.63

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Solution

The fourth proportional to 584,042.63, 805,978.82 and 315,770.63 is: 435,763.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,042.63 : 805,978.82 = 315,770.63 : x
  2. Step 2: Convert to fraction form
    584,042.63/805,978.82 = 315,770.63/x
  3. Step 3: Cross multiply
    584,042.63x = 805,978.82 × 315,770.63
  4. Step 4: Simplify right side
    584,042.63x = 254,504,436,517.59
  5. Step 5: Solve for x
    x = 254,504,436,517.59/584,042.63
  6. Step 6: Final answer
    x = 435,763.46

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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.