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Finding the Fourth Proportional to 307,529.70, 461,294.55 and 223,548.90

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Solution

The fourth proportional to 307,529.70, 461,294.55 and 223,548.90 is: 335,323.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,529.70 : 461,294.55 = 223,548.90 : x
  2. Step 2: Convert to fraction form
    307,529.70/461,294.55 = 223,548.90/x
  3. Step 3: Cross multiply
    307,529.70x = 461,294.55 × 223,548.90
  4. Step 4: Simplify right side
    307,529.70x = 103,121,889,228.50
  5. Step 5: Solve for x
    x = 103,121,889,228.50/307,529.70
  6. Step 6: Final answer
    x = 335,323.35

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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.