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Finding the Fourth Proportional to 357,898.67, 493,909.57 and 196,757.77

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Solution

The fourth proportional to 357,898.67, 493,909.57 and 196,757.77 is: 271,530.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,898.67 : 493,909.57 = 196,757.77 : x
  2. Step 2: Convert to fraction form
    357,898.67/493,909.57 = 196,757.77/x
  3. Step 3: Cross multiply
    357,898.67x = 493,909.57 × 196,757.77
  4. Step 4: Simplify right side
    357,898.67x = 97,180,545,574.86
  5. Step 5: Solve for x
    x = 97,180,545,574.86/357,898.67
  6. Step 6: Final answer
    x = 271,530.89

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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.