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Finding the Fourth Proportional to 477,211.59, 715,780.16 and 277,404.53

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Solution

The fourth proportional to 477,211.59, 715,780.16 and 277,404.53 is: 416,085.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,211.59 : 715,780.16 = 277,404.53 : x
  2. Step 2: Convert to fraction form
    477,211.59/715,780.16 = 277,404.53/x
  3. Step 3: Cross multiply
    477,211.59x = 715,780.16 × 277,404.53
  4. Step 4: Simplify right side
    477,211.59x = 198,560,658,868.13
  5. Step 5: Solve for x
    x = 198,560,658,868.13/477,211.59
  6. Step 6: Final answer
    x = 416,085.16

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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.