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Finding the Fourth Proportional to 357,551.32, 493,424 and 196,409.64

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Solution

The fourth proportional to 357,551.32, 493,424 and 196,409.64 is: 271,047.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,551.32 : 493,424 = 196,409.64 : x
  2. Step 2: Convert to fraction form
    357,551.32/493,424 = 196,409.64/x
  3. Step 3: Cross multiply
    357,551.32x = 493,424 × 196,409.64
  4. Step 4: Simplify right side
    357,551.32x = 96,913,230,207.36
  5. Step 5: Solve for x
    x = 96,913,230,207.36/357,551.32
  6. Step 6: Final answer
    x = 271,047.05

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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.