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Finding the Fourth Proportional to 537,403.52, 806,208.96 and 301,013.12

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Solution

The fourth proportional to 537,403.52, 806,208.96 and 301,013.12 is: 451,577.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,403.52 : 806,208.96 = 301,013.12 : x
  2. Step 2: Convert to fraction form
    537,403.52/806,208.96 = 301,013.12/x
  3. Step 3: Cross multiply
    537,403.52x = 806,208.96 × 301,013.12
  4. Step 4: Simplify right side
    537,403.52x = 242,679,474,421.56
  5. Step 5: Solve for x
    x = 242,679,474,421.56/537,403.52
  6. Step 6: Final answer
    x = 451,577.75

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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.