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Finding the Fourth Proportional to 474,554.40, 712,234.80 and 194,272.80

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Solution

The fourth proportional to 474,554.40, 712,234.80 and 194,272.80 is: 291,574.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,554.40 : 712,234.80 = 194,272.80 : x
  2. Step 2: Convert to fraction form
    474,554.40/712,234.80 = 194,272.80/x
  3. Step 3: Cross multiply
    474,554.40x = 712,234.80 × 194,272.80
  4. Step 4: Simplify right side
    474,554.40x = 138,367,848,853.44
  5. Step 5: Solve for x
    x = 138,367,848,853.44/474,554.40
  6. Step 6: Final answer
    x = 291,574.26

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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.