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Finding the Fourth Proportional to 470,767.72, 705,987.96 and 200,884.94

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Solution

The fourth proportional to 470,767.72, 705,987.96 and 200,884.94 is: 301,257.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,767.72 : 705,987.96 = 200,884.94 : x
  2. Step 2: Convert to fraction form
    470,767.72/705,987.96 = 200,884.94/x
  3. Step 3: Cross multiply
    470,767.72x = 705,987.96 × 200,884.94
  4. Step 4: Simplify right side
    470,767.72x = 141,822,348,985.32
  5. Step 5: Solve for x
    x = 141,822,348,985.32/470,767.72
  6. Step 6: Final answer
    x = 301,257.59

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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.