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Finding the Fourth Proportional to 424,077.96, 585,312.69 and 251,962.80

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Solution

The fourth proportional to 424,077.96, 585,312.69 and 251,962.80 is: 347,759.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,077.96 : 585,312.69 = 251,962.80 : x
  2. Step 2: Convert to fraction form
    424,077.96/585,312.69 = 251,962.80/x
  3. Step 3: Cross multiply
    424,077.96x = 585,312.69 × 251,962.80
  4. Step 4: Simplify right side
    424,077.96x = 147,477,024,247.93
  5. Step 5: Solve for x
    x = 147,477,024,247.93/424,077.96
  6. Step 6: Final answer
    x = 347,759.23

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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.