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Finding the Fourth Proportional to 413,877.94, 620,314.71 and 293,745.22

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Solution

The fourth proportional to 413,877.94, 620,314.71 and 293,745.22 is: 440,261.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,877.94 : 620,314.71 = 293,745.22 : x
  2. Step 2: Convert to fraction form
    413,877.94/620,314.71 = 293,745.22/x
  3. Step 3: Cross multiply
    413,877.94x = 620,314.71 × 293,745.22
  4. Step 4: Simplify right side
    413,877.94x = 182,214,480,958.19
  5. Step 5: Solve for x
    x = 182,214,480,958.19/413,877.94
  6. Step 6: Final answer
    x = 440,261.40

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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.