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Finding the Fourth Proportional to 474,832.36, 712,597.02 and 382,453.48

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Solution

The fourth proportional to 474,832.36, 712,597.02 and 382,453.48 is: 573,960.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,832.36 : 712,597.02 = 382,453.48 : x
  2. Step 2: Convert to fraction form
    474,832.36/712,597.02 = 382,453.48/x
  3. Step 3: Cross multiply
    474,832.36x = 712,597.02 × 382,453.48
  4. Step 4: Simplify right side
    474,832.36x = 272,535,210,136.63
  5. Step 5: Solve for x
    x = 272,535,210,136.63/474,832.36
  6. Step 6: Final answer
    x = 573,960.90

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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.