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Finding the Fourth Proportional to 415,813.02, 573,818.62 and 241,399.41

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Solution

The fourth proportional to 415,813.02, 573,818.62 and 241,399.41 is: 333,129.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,813.02 : 573,818.62 = 241,399.41 : x
  2. Step 2: Convert to fraction form
    415,813.02/573,818.62 = 241,399.41/x
  3. Step 3: Cross multiply
    415,813.02x = 573,818.62 × 241,399.41
  4. Step 4: Simplify right side
    415,813.02x = 138,519,476,315.01
  5. Step 5: Solve for x
    x = 138,519,476,315.01/415,813.02
  6. Step 6: Final answer
    x = 333,129.24

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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.