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Finding the Fourth Proportional to 436,609, 654,913.82 and 174,137.32

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Solution

The fourth proportional to 436,609, 654,913.82 and 174,137.32 is: 261,206.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,609 : 654,913.82 = 174,137.32 : x
  2. Step 2: Convert to fraction form
    436,609/654,913.82 = 174,137.32/x
  3. Step 3: Cross multiply
    436,609x = 654,913.82 × 174,137.32
  4. Step 4: Simplify right side
    436,609x = 114,044,937,445.76
  5. Step 5: Solve for x
    x = 114,044,937,445.76/436,609
  6. Step 6: Final answer
    x = 261,206.11

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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.