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Finding the Fourth Proportional to 474,486.96, 711,894.44 and 296,782.24

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Solution

The fourth proportional to 474,486.96, 711,894.44 and 296,782.24 is: 445,275.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,486.96 : 711,894.44 = 296,782.24 : x
  2. Step 2: Convert to fraction form
    474,486.96/711,894.44 = 296,782.24/x
  3. Step 3: Cross multiply
    474,486.96x = 711,894.44 × 296,782.24
  4. Step 4: Simplify right side
    474,486.96x = 211,277,626,546.75
  5. Step 5: Solve for x
    x = 211,277,626,546.75/474,486.96
  6. Step 6: Final answer
    x = 445,275.94

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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.