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Finding the Fourth Proportional to 433,225.60, 650,157.72 and 205,521.96

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Solution

The fourth proportional to 433,225.60, 650,157.72 and 205,521.96 is: 308,434.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,225.60 : 650,157.72 = 205,521.96 : x
  2. Step 2: Convert to fraction form
    433,225.60/650,157.72 = 205,521.96/x
  3. Step 3: Cross multiply
    433,225.60x = 650,157.72 × 205,521.96
  4. Step 4: Simplify right side
    433,225.60x = 133,621,688,923.53
  5. Step 5: Solve for x
    x = 133,621,688,923.53/433,225.60
  6. Step 6: Final answer
    x = 308,434.43

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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.