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Finding the Fourth Proportional to 537,157.30, 804,569.55 and 327,205.30

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Solution

The fourth proportional to 537,157.30, 804,569.55 and 327,205.30 is: 490,097.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,157.30 : 804,569.55 = 327,205.30 : x
  2. Step 2: Convert to fraction form
    537,157.30/804,569.55 = 327,205.30/x
  3. Step 3: Cross multiply
    537,157.30x = 804,569.55 × 327,205.30
  4. Step 4: Simplify right side
    537,157.30x = 263,259,420,978.62
  5. Step 5: Solve for x
    x = 263,259,420,978.62/537,157.30
  6. Step 6: Final answer
    x = 490,097.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.