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Finding the Fourth Proportional to 535,817.57, 739,465.20 and 354,214.55

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Solution

The fourth proportional to 535,817.57, 739,465.20 and 354,214.55 is: 488,840.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,817.57 : 739,465.20 = 354,214.55 : x
  2. Step 2: Convert to fraction form
    535,817.57/739,465.20 = 354,214.55/x
  3. Step 3: Cross multiply
    535,817.57x = 739,465.20 × 354,214.55
  4. Step 4: Simplify right side
    535,817.57x = 261,929,334,907.32
  5. Step 5: Solve for x
    x = 261,929,334,907.32/535,817.57
  6. Step 6: Final answer
    x = 488,840.52

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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.