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Finding the Fourth Proportional to 488,774.63, 732,786.59 and 185,164.35

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Solution

The fourth proportional to 488,774.63, 732,786.59 and 185,164.35 is: 277,604.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,774.63 : 732,786.59 = 185,164.35 : x
  2. Step 2: Convert to fraction form
    488,774.63/732,786.59 = 185,164.35/x
  3. Step 3: Cross multiply
    488,774.63x = 732,786.59 × 185,164.35
  4. Step 4: Simplify right side
    488,774.63x = 135,685,951,700.25
  5. Step 5: Solve for x
    x = 135,685,951,700.25/488,774.63
  6. Step 6: Final answer
    x = 277,604.33

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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.