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Finding the Fourth Proportional to 430,606.80, 645,835.68 and 131,014.80

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Solution

The fourth proportional to 430,606.80, 645,835.68 and 131,014.80 is: 196,499.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,606.80 : 645,835.68 = 131,014.80 : x
  2. Step 2: Convert to fraction form
    430,606.80/645,835.68 = 131,014.80/x
  3. Step 3: Cross multiply
    430,606.80x = 645,835.68 × 131,014.80
  4. Step 4: Simplify right side
    430,606.80x = 84,614,032,448.06
  5. Step 5: Solve for x
    x = 84,614,032,448.06/430,606.80
  6. Step 6: Final answer
    x = 196,499.53

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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.