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Finding the Fourth Proportional to 538,594.90, 742,987.82 and 411,049.06

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Solution

The fourth proportional to 538,594.90, 742,987.82 and 411,049.06 is: 567,039.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,594.90 : 742,987.82 = 411,049.06 : x
  2. Step 2: Convert to fraction form
    538,594.90/742,987.82 = 411,049.06/x
  3. Step 3: Cross multiply
    538,594.90x = 742,987.82 × 411,049.06
  4. Step 4: Simplify right side
    538,594.90x = 305,404,439,232.27
  5. Step 5: Solve for x
    x = 305,404,439,232.27/538,594.90
  6. Step 6: Final answer
    x = 567,039.24

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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.