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Finding the Fourth Proportional to 461,626.18, 637,042.41 and 257,675.32

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Solution

The fourth proportional to 461,626.18, 637,042.41 and 257,675.32 is: 355,590.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,626.18 : 637,042.41 = 257,675.32 : x
  2. Step 2: Convert to fraction form
    461,626.18/637,042.41 = 257,675.32/x
  3. Step 3: Cross multiply
    461,626.18x = 637,042.41 × 257,675.32
  4. Step 4: Simplify right side
    461,626.18x = 164,150,106,850.32
  5. Step 5: Solve for x
    x = 164,150,106,850.32/461,626.18
  6. Step 6: Final answer
    x = 355,590.98

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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.