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Finding the Fourth Proportional to 436,705.82, 654,669.14 and 170,404.40

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Solution

The fourth proportional to 436,705.82, 654,669.14 and 170,404.40 is: 255,454.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,705.82 : 654,669.14 = 170,404.40 : x
  2. Step 2: Convert to fraction form
    436,705.82/654,669.14 = 170,404.40/x
  3. Step 3: Cross multiply
    436,705.82x = 654,669.14 × 170,404.40
  4. Step 4: Simplify right side
    436,705.82x = 111,558,502,000.22
  5. Step 5: Solve for x
    x = 111,558,502,000.22/436,705.82
  6. Step 6: Final answer
    x = 255,454.58

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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.