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Finding the Fourth Proportional to 408,854.40, 613,283.90 and 364,083.26

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Solution

The fourth proportional to 408,854.40, 613,283.90 and 364,083.26 is: 546,126.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,854.40 : 613,283.90 = 364,083.26 : x
  2. Step 2: Convert to fraction form
    408,854.40/613,283.90 = 364,083.26/x
  3. Step 3: Cross multiply
    408,854.40x = 613,283.90 × 364,083.26
  4. Step 4: Simplify right side
    408,854.40x = 223,286,401,617.51
  5. Step 5: Solve for x
    x = 223,286,401,617.51/408,854.40
  6. Step 6: Final answer
    x = 546,126.94

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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.