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Finding the Fourth Proportional to 584,123.38, 806,090.26 and 315,851.38

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Solution

The fourth proportional to 584,123.38, 806,090.26 and 315,851.38 is: 435,874.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,123.38 : 806,090.26 = 315,851.38 : x
  2. Step 2: Convert to fraction form
    584,123.38/806,090.26 = 315,851.38/x
  3. Step 3: Cross multiply
    584,123.38x = 806,090.26 × 315,851.38
  4. Step 4: Simplify right side
    584,123.38x = 254,604,721,025.56
  5. Step 5: Solve for x
    x = 254,604,721,025.56/584,123.38
  6. Step 6: Final answer
    x = 435,874.90

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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.