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Finding the Fourth Proportional to 474,295.27, 711,444.12 and 193,812.52

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Solution

The fourth proportional to 474,295.27, 711,444.12 and 193,812.52 is: 290,719.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,295.27 : 711,444.12 = 193,812.52 : x
  2. Step 2: Convert to fraction form
    474,295.27/711,444.12 = 193,812.52/x
  3. Step 3: Cross multiply
    474,295.27x = 711,444.12 × 193,812.52
  4. Step 4: Simplify right side
    474,295.27x = 137,886,777,736.38
  5. Step 5: Solve for x
    x = 137,886,777,736.38/474,295.27
  6. Step 6: Final answer
    x = 290,719.28

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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.