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Finding the Fourth Proportional to 513,547.54, 770,651.79 and 277,053.46

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Solution

The fourth proportional to 513,547.54, 770,651.79 and 277,053.46 is: 415,758.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,547.54 : 770,651.79 = 277,053.46 : x
  2. Step 2: Convert to fraction form
    513,547.54/770,651.79 = 277,053.46/x
  3. Step 3: Cross multiply
    513,547.54x = 770,651.79 × 277,053.46
  4. Step 4: Simplify right side
    513,547.54x = 213,511,744,874.69
  5. Step 5: Solve for x
    x = 213,511,744,874.69/513,547.54
  6. Step 6: Final answer
    x = 415,758.48

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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.