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Finding the Fourth Proportional to 404,638.40, 565,444 and 404,638.40

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Solution

The fourth proportional to 404,638.40, 565,444 and 404,638.40 is: 565,444

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,638.40 : 565,444 = 404,638.40 : x
  2. Step 2: Convert to fraction form
    404,638.40/565,444 = 404,638.40/x
  3. Step 3: Cross multiply
    404,638.40x = 565,444 × 404,638.40
  4. Step 4: Simplify right side
    404,638.40x = 228,800,355,449.60
  5. Step 5: Solve for x
    x = 228,800,355,449.60/404,638.40
  6. Step 6: Final answer
    x = 565,444

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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.