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Finding the Fourth Proportional to 835,779, 1,153,375.02 and 478,083

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Solution

The fourth proportional to 835,779, 1,153,375.02 and 478,083 is: 659,754.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,779 : 1,153,375.02 = 478,083 : x
  2. Step 2: Convert to fraction form
    835,779/1,153,375.02 = 478,083/x
  3. Step 3: Cross multiply
    835,779x = 1,153,375.02 × 478,083
  4. Step 4: Simplify right side
    835,779x = 551,408,989,686.66
  5. Step 5: Solve for x
    x = 551,408,989,686.66/835,779
  6. Step 6: Final answer
    x = 659,754.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.