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Finding the Fourth Proportional to 537,911.86, 806,634.51 and 182,830.54

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Solution

The fourth proportional to 537,911.86, 806,634.51 and 182,830.54 is: 274,166.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,911.86 : 806,634.51 = 182,830.54 : x
  2. Step 2: Convert to fraction form
    537,911.86/806,634.51 = 182,830.54/x
  3. Step 3: Cross multiply
    537,911.86x = 806,634.51 × 182,830.54
  4. Step 4: Simplify right side
    537,911.86x = 147,477,423,045.94
  5. Step 5: Solve for x
    x = 147,477,423,045.94/537,911.86
  6. Step 6: Final answer
    x = 274,166.52

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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.