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Finding the Fourth Proportional to 357,832.48, 493,798.80 and 196,687.84

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Solution

The fourth proportional to 357,832.48, 493,798.80 and 196,687.84 is: 271,423.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,832.48 : 493,798.80 = 196,687.84 : x
  2. Step 2: Convert to fraction form
    357,832.48/493,798.80 = 196,687.84/x
  3. Step 3: Cross multiply
    357,832.48x = 493,798.80 × 196,687.84
  4. Step 4: Simplify right side
    357,832.48x = 97,124,219,366.59
  5. Step 5: Solve for x
    x = 97,124,219,366.59/357,832.48
  6. Step 6: Final answer
    x = 271,423.71

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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.