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Finding the Fourth Proportional to 537,607.73, 805,081.17 and 312,284.77

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Solution

The fourth proportional to 537,607.73, 805,081.17 and 312,284.77 is: 467,654.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,607.73 : 805,081.17 = 312,284.77 : x
  2. Step 2: Convert to fraction form
    537,607.73/805,081.17 = 312,284.77/x
  3. Step 3: Cross multiply
    537,607.73x = 805,081.17 × 312,284.77
  4. Step 4: Simplify right side
    537,607.73x = 251,414,587,163.15
  5. Step 5: Solve for x
    x = 251,414,587,163.15/537,607.73
  6. Step 6: Final answer
    x = 467,654.34

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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.