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Finding the Fourth Proportional to 547,514.93, 822,730.40 and 294,989.33

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Solution

The fourth proportional to 547,514.93, 822,730.40 and 294,989.33 is: 443,269.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,514.93 : 822,730.40 = 294,989.33 : x
  2. Step 2: Convert to fraction form
    547,514.93/822,730.40 = 294,989.33/x
  3. Step 3: Cross multiply
    547,514.93x = 822,730.40 × 294,989.33
  4. Step 4: Simplify right side
    547,514.93x = 242,696,687,991.69
  5. Step 5: Solve for x
    x = 242,696,687,991.69/547,514.93
  6. Step 6: Final answer
    x = 443,269.53

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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.