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Finding the Fourth Proportional to 474,558.40, 712,240.80 and 194,276.80

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Solution

The fourth proportional to 474,558.40, 712,240.80 and 194,276.80 is: 291,580.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,558.40 : 712,240.80 = 194,276.80 : x
  2. Step 2: Convert to fraction form
    474,558.40/712,240.80 = 194,276.80/x
  3. Step 3: Cross multiply
    474,558.40x = 712,240.80 × 194,276.80
  4. Step 4: Simplify right side
    474,558.40x = 138,371,863,453.44
  5. Step 5: Solve for x
    x = 138,371,863,453.44/474,558.40
  6. Step 6: Final answer
    x = 291,580.26

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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.