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Finding the Fourth Proportional to 430,790.09, 645,744.09 and 194,298.85

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Solution

The fourth proportional to 430,790.09, 645,744.09 and 194,298.85 is: 291,249.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,790.09 : 645,744.09 = 194,298.85 : x
  2. Step 2: Convert to fraction form
    430,790.09/645,744.09 = 194,298.85/x
  3. Step 3: Cross multiply
    430,790.09x = 645,744.09 × 194,298.85
  4. Step 4: Simplify right side
    430,790.09x = 125,467,330,852.58
  5. Step 5: Solve for x
    x = 125,467,330,852.58/430,790.09
  6. Step 6: Final answer
    x = 291,249.34

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