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Finding the Fourth Proportional to 477,211.09, 715,779.41 and 277,404.03

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Solution

The fourth proportional to 477,211.09, 715,779.41 and 277,404.03 is: 416,084.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,211.09 : 715,779.41 = 277,404.03 : x
  2. Step 2: Convert to fraction form
    477,211.09/715,779.41 = 277,404.03/x
  3. Step 3: Cross multiply
    477,211.09x = 715,779.41 × 277,404.03
  4. Step 4: Simplify right side
    477,211.09x = 198,560,092,925.02
  5. Step 5: Solve for x
    x = 198,560,092,925.02/477,211.09
  6. Step 6: Final answer
    x = 416,084.41

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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.