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Finding the Fourth Proportional to 313,486, 469,768.08 and 185,270.32

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Solution

The fourth proportional to 313,486, 469,768.08 and 185,270.32 is: 277,633.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,486 : 469,768.08 = 185,270.32 : x
  2. Step 2: Convert to fraction form
    313,486/469,768.08 = 185,270.32/x
  3. Step 3: Cross multiply
    313,486x = 469,768.08 × 185,270.32
  4. Step 4: Simplify right side
    313,486x = 87,034,082,507.39
  5. Step 5: Solve for x
    x = 87,034,082,507.39/313,486
  6. Step 6: Final answer
    x = 277,633.08

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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.