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Finding the Fourth Proportional to 474,206.40, 711,346.86 and 158,664.42

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Solution

The fourth proportional to 474,206.40, 711,346.86 and 158,664.42 is: 238,009.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,206.40 : 711,346.86 = 158,664.42 : x
  2. Step 2: Convert to fraction form
    474,206.40/711,346.86 = 158,664.42/x
  3. Step 3: Cross multiply
    474,206.40x = 711,346.86 × 158,664.42
  4. Step 4: Simplify right side
    474,206.40x = 112,865,436,960.72
  5. Step 5: Solve for x
    x = 112,865,436,960.72/474,206.40
  6. Step 6: Final answer
    x = 238,009.10

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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.