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Finding the Fourth Proportional to 594,314.64, 819,954.74 and 339,485.40

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Solution

The fourth proportional to 594,314.64, 819,954.74 and 339,485.40 is: 468,375.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,314.64 : 819,954.74 = 339,485.40 : x
  2. Step 2: Convert to fraction form
    594,314.64/819,954.74 = 339,485.40/x
  3. Step 3: Cross multiply
    594,314.64x = 819,954.74 × 339,485.40
  4. Step 4: Simplify right side
    594,314.64x = 278,362,662,890.80
  5. Step 5: Solve for x
    x = 278,362,662,890.80/594,314.64
  6. Step 6: Final answer
    x = 468,375.91

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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.