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Finding the Fourth Proportional to 474,461.44, 711,933.52 and 208,152.88

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Solution

The fourth proportional to 474,461.44, 711,933.52 and 208,152.88 is: 312,335.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,461.44 : 711,933.52 = 208,152.88 : x
  2. Step 2: Convert to fraction form
    474,461.44/711,933.52 = 208,152.88/x
  3. Step 3: Cross multiply
    474,461.44x = 711,933.52 × 208,152.88
  4. Step 4: Simplify right side
    474,461.44x = 148,191,012,556.54
  5. Step 5: Solve for x
    x = 148,191,012,556.54/474,461.44
  6. Step 6: Final answer
    x = 312,335.21

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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.