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Finding the Fourth Proportional to 441,564.40, 661,666.20 and 328,715.20

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Solution

The fourth proportional to 441,564.40, 661,666.20 and 328,715.20 is: 492,566.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,564.40 : 661,666.20 = 328,715.20 : x
  2. Step 2: Convert to fraction form
    441,564.40/661,666.20 = 328,715.20/x
  3. Step 3: Cross multiply
    441,564.40x = 661,666.20 × 328,715.20
  4. Step 4: Simplify right side
    441,564.40x = 217,499,737,266.24
  5. Step 5: Solve for x
    x = 217,499,737,266.24/441,564.40
  6. Step 6: Final answer
    x = 492,566.29

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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.