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Finding the Fourth Proportional to 481,534.80, 722,417.40 and 200,896.08

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Solution

The fourth proportional to 481,534.80, 722,417.40 and 200,896.08 is: 301,392.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,534.80 : 722,417.40 = 200,896.08 : x
  2. Step 2: Convert to fraction form
    481,534.80/722,417.40 = 200,896.08/x
  3. Step 3: Cross multiply
    481,534.80x = 722,417.40 × 200,896.08
  4. Step 4: Simplify right side
    481,534.80x = 145,130,823,783.79
  5. Step 5: Solve for x
    x = 145,130,823,783.79/481,534.80
  6. Step 6: Final answer
    x = 301,392.18

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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.