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Finding the Fourth Proportional to 357,490.22, 493,342.44 and 196,360.16

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Solution

The fourth proportional to 357,490.22, 493,342.44 and 196,360.16 is: 270,980.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,490.22 : 493,342.44 = 196,360.16 : x
  2. Step 2: Convert to fraction form
    357,490.22/493,342.44 = 196,360.16/x
  3. Step 3: Cross multiply
    357,490.22x = 493,342.44 × 196,360.16
  4. Step 4: Simplify right side
    357,490.22x = 96,872,800,453.19
  5. Step 5: Solve for x
    x = 96,872,800,453.19/357,490.22
  6. Step 6: Final answer
    x = 270,980.28

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1.5x scale

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.