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Finding the Fourth Proportional to 474,109.60, 711,164.40 and 296,816.80

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Solution

The fourth proportional to 474,109.60, 711,164.40 and 296,816.80 is: 445,225.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,109.60 : 711,164.40 = 296,816.80 : x
  2. Step 2: Convert to fraction form
    474,109.60/711,164.40 = 296,816.80/x
  3. Step 3: Cross multiply
    474,109.60x = 711,164.40 × 296,816.80
  4. Step 4: Simplify right side
    474,109.60x = 211,085,541,481.92
  5. Step 5: Solve for x
    x = 211,085,541,481.92/474,109.60
  6. Step 6: Final answer
    x = 445,225.20

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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.