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Finding the Fourth Proportional to 357,814.64, 493,759.32 and 196,665.68

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Solution

The fourth proportional to 357,814.64, 493,759.32 and 196,665.68 is: 271,384.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,814.64 : 493,759.32 = 196,665.68 : x
  2. Step 2: Convert to fraction form
    357,814.64/493,759.32 = 196,665.68/x
  3. Step 3: Cross multiply
    357,814.64x = 493,759.32 × 196,665.68
  4. Step 4: Simplify right side
    357,814.64x = 97,105,512,424.14
  5. Step 5: Solve for x
    x = 97,105,512,424.14/357,814.64
  6. Step 6: Final answer
    x = 271,384.96

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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.