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Finding the Fourth Proportional to 357,416.51, 493,238.20 and 196,274.93

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Solution

The fourth proportional to 357,416.51, 493,238.20 and 196,274.93 is: 270,861.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,416.51 : 493,238.20 = 196,274.93 : x
  2. Step 2: Convert to fraction form
    357,416.51/493,238.20 = 196,274.93/x
  3. Step 3: Cross multiply
    357,416.51x = 493,238.20 × 196,274.93
  4. Step 4: Simplify right side
    357,416.51x = 96,810,293,178.33
  5. Step 5: Solve for x
    x = 96,810,293,178.33/357,416.51
  6. Step 6: Final answer
    x = 270,861.28

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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.