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Finding the Fourth Proportional to 460,819, 691,500.66 and 194,562.28

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Solution

The fourth proportional to 460,819, 691,500.66 and 194,562.28 is: 291,958.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,819 : 691,500.66 = 194,562.28 : x
  2. Step 2: Convert to fraction form
    460,819/691,500.66 = 194,562.28/x
  3. Step 3: Cross multiply
    460,819x = 691,500.66 × 194,562.28
  4. Step 4: Simplify right side
    460,819x = 134,539,945,031.11
  5. Step 5: Solve for x
    x = 134,539,945,031.11/460,819
  6. Step 6: Final answer
    x = 291,958.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.