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Finding the Fourth Proportional to 420,076.96, 629,925.90 and 120,488.80

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Solution

The fourth proportional to 420,076.96, 629,925.90 and 120,488.80 is: 180,678.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,076.96 : 629,925.90 = 120,488.80 : x
  2. Step 2: Convert to fraction form
    420,076.96/629,925.90 = 120,488.80/x
  3. Step 3: Cross multiply
    420,076.96x = 629,925.90 × 120,488.80
  4. Step 4: Simplify right side
    420,076.96x = 75,899,015,779.92
  5. Step 5: Solve for x
    x = 75,899,015,779.92/420,076.96
  6. Step 6: Final answer
    x = 180,678.84

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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.