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Finding the Fourth Proportional to 461,712.32, 637,160.48 and 257,751.44

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Solution

The fourth proportional to 461,712.32, 637,160.48 and 257,751.44 is: 355,695.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,712.32 : 637,160.48 = 257,751.44 : x
  2. Step 2: Convert to fraction form
    461,712.32/637,160.48 = 257,751.44/x
  3. Step 3: Cross multiply
    461,712.32x = 637,160.48 × 257,751.44
  4. Step 4: Simplify right side
    461,712.32x = 164,229,031,231.09
  5. Step 5: Solve for x
    x = 164,229,031,231.09/461,712.32
  6. Step 6: Final answer
    x = 355,695.58

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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.