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Finding the Fourth Proportional to 404,006.10, 566,658.30 and 404,006.10

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Solution

The fourth proportional to 404,006.10, 566,658.30 and 404,006.10 is: 566,658.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,006.10 : 566,658.30 = 404,006.10 : x
  2. Step 2: Convert to fraction form
    404,006.10/566,658.30 = 404,006.10/x
  3. Step 3: Cross multiply
    404,006.10x = 566,658.30 × 404,006.10
  4. Step 4: Simplify right side
    404,006.10x = 228,933,409,815.63
  5. Step 5: Solve for x
    x = 228,933,409,815.63/404,006.10
  6. Step 6: Final answer
    x = 566,658.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.