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Finding the Fourth Proportional to 357,416.76, 493,238.54 and 196,275.18

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Solution

The fourth proportional to 357,416.76, 493,238.54 and 196,275.18 is: 270,861.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,416.76 : 493,238.54 = 196,275.18 : x
  2. Step 2: Convert to fraction form
    357,416.76/493,238.54 = 196,275.18/x
  3. Step 3: Cross multiply
    357,416.76x = 493,238.54 × 196,275.18
  4. Step 4: Simplify right side
    357,416.76x = 96,810,483,712.13
  5. Step 5: Solve for x
    x = 96,810,483,712.13/357,416.76
  6. Step 6: Final answer
    x = 270,861.62

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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.