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Finding the Fourth Proportional to 576,358.50, 864,542.61 and 202,381.50

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Solution

The fourth proportional to 576,358.50, 864,542.61 and 202,381.50 is: 303,573.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,358.50 : 864,542.61 = 202,381.50 : x
  2. Step 2: Convert to fraction form
    576,358.50/864,542.61 = 202,381.50/x
  3. Step 3: Cross multiply
    576,358.50x = 864,542.61 × 202,381.50
  4. Step 4: Simplify right side
    576,358.50x = 174,967,430,225.72
  5. Step 5: Solve for x
    x = 174,967,430,225.72/576,358.50
  6. Step 6: Final answer
    x = 303,573.96

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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.