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Finding the Fourth Proportional to 477,211.52, 715,780.07 and 277,404.47

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Solution

The fourth proportional to 477,211.52, 715,780.07 and 277,404.47 is: 416,085.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,211.52 : 715,780.07 = 277,404.47 : x
  2. Step 2: Convert to fraction form
    477,211.52/715,780.07 = 277,404.47/x
  3. Step 3: Cross multiply
    477,211.52x = 715,780.07 × 277,404.47
  4. Step 4: Simplify right side
    477,211.52x = 198,560,585,988.99
  5. Step 5: Solve for x
    x = 198,560,585,988.99/477,211.52
  6. Step 6: Final answer
    x = 416,085.06

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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.