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Finding the Fourth Proportional to 461,774.94, 637,243.38 and 257,829.34

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Solution

The fourth proportional to 461,774.94, 637,243.38 and 257,829.34 is: 355,801.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,774.94 : 637,243.38 = 257,829.34 : x
  2. Step 2: Convert to fraction form
    461,774.94/637,243.38 = 257,829.34/x
  3. Step 3: Cross multiply
    461,774.94x = 637,243.38 × 257,829.34
  4. Step 4: Simplify right side
    461,774.94x = 164,300,040,084.77
  5. Step 5: Solve for x
    x = 164,300,040,084.77/461,774.94
  6. Step 6: Final answer
    x = 355,801.12

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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.