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Finding the Fourth Proportional to 474,294.66, 711,443.22 and 193,811.88

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Solution

The fourth proportional to 474,294.66, 711,443.22 and 193,811.88 is: 290,718.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,294.66 : 711,443.22 = 193,811.88 : x
  2. Step 2: Convert to fraction form
    474,294.66/711,443.22 = 193,811.88/x
  3. Step 3: Cross multiply
    474,294.66x = 711,443.22 × 193,811.88
  4. Step 4: Simplify right side
    474,294.66x = 137,886,147,981.45
  5. Step 5: Solve for x
    x = 137,886,147,981.45/474,294.66
  6. Step 6: Final answer
    x = 290,718.32

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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.