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Finding the Fourth Proportional to 357,446.96, 493,275.51 and 196,312.44

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Solution

The fourth proportional to 357,446.96, 493,275.51 and 196,312.44 is: 270,910.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,446.96 : 493,275.51 = 196,312.44 : x
  2. Step 2: Convert to fraction form
    357,446.96/493,275.51 = 196,312.44/x
  3. Step 3: Cross multiply
    357,446.96x = 493,275.51 × 196,312.44
  4. Step 4: Simplify right side
    357,446.96x = 96,836,118,960.34
  5. Step 5: Solve for x
    x = 96,836,118,960.34/357,446.96
  6. Step 6: Final answer
    x = 270,910.46

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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.