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Finding the Fourth Proportional to 460,375.92, 635,098.74 and 357,698.70

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Solution

The fourth proportional to 460,375.92, 635,098.74 and 357,698.70 is: 493,453.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,375.92 : 635,098.74 = 357,698.70 : x
  2. Step 2: Convert to fraction form
    460,375.92/635,098.74 = 357,698.70/x
  3. Step 3: Cross multiply
    460,375.92x = 635,098.74 × 357,698.70
  4. Step 4: Simplify right side
    460,375.92x = 227,173,993,669.64
  5. Step 5: Solve for x
    x = 227,173,993,669.64/460,375.92
  6. Step 6: Final answer
    x = 493,453.25

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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.