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Finding the Fourth Proportional to 470,046.42, 705,331.62 and 253,900.76

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Solution

The fourth proportional to 470,046.42, 705,331.62 and 253,900.76 is: 380,992.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,046.42 : 705,331.62 = 253,900.76 : x
  2. Step 2: Convert to fraction form
    470,046.42/705,331.62 = 253,900.76/x
  3. Step 3: Cross multiply
    470,046.42x = 705,331.62 × 253,900.76
  4. Step 4: Simplify right side
    470,046.42x = 179,084,234,370.03
  5. Step 5: Solve for x
    x = 179,084,234,370.03/470,046.42
  6. Step 6: Final answer
    x = 380,992.66

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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.