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Finding the Fourth Proportional to 539,655.40, 808,791.90 and 414,375.40

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Solution

The fourth proportional to 539,655.40, 808,791.90 and 414,375.40 is: 621,032.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,655.40 : 808,791.90 = 414,375.40 : x
  2. Step 2: Convert to fraction form
    539,655.40/808,791.90 = 414,375.40/x
  3. Step 3: Cross multiply
    539,655.40x = 808,791.90 × 414,375.40
  4. Step 4: Simplify right side
    539,655.40x = 335,143,467,079.26
  5. Step 5: Solve for x
    x = 335,143,467,079.26/539,655.40
  6. Step 6: Final answer
    x = 621,032.36

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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.