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Finding the Fourth Proportional to 474,585, 711,886.41 and 221,796.15

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Solution

The fourth proportional to 474,585, 711,886.41 and 221,796.15 is: 332,698.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,585 : 711,886.41 = 221,796.15 : x
  2. Step 2: Convert to fraction form
    474,585/711,886.41 = 221,796.15/x
  3. Step 3: Cross multiply
    474,585x = 711,886.41 × 221,796.15
  4. Step 4: Simplify right side
    474,585x = 157,893,664,975.32
  5. Step 5: Solve for x
    x = 157,893,664,975.32/474,585
  6. Step 6: Final answer
    x = 332,698.39

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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.