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Finding the Fourth Proportional to 856,474.42, 1,181,888.10 and 474,478.42

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Solution

The fourth proportional to 856,474.42, 1,181,888.10 and 474,478.42 is: 654,754.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,474.42 : 1,181,888.10 = 474,478.42 : x
  2. Step 2: Convert to fraction form
    856,474.42/1,181,888.10 = 474,478.42/x
  3. Step 3: Cross multiply
    856,474.42x = 1,181,888.10 × 474,478.42
  4. Step 4: Simplify right side
    856,474.42x = 560,780,398,304.80
  5. Step 5: Solve for x
    x = 560,780,398,304.80/856,474.42
  6. Step 6: Final answer
    x = 654,754.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.