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Finding the Fourth Proportional to 594,405.95, 820,280.12 and 339,762.60

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Solution

The fourth proportional to 594,405.95, 820,280.12 and 339,762.60 is: 468,872.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,405.95 : 820,280.12 = 339,762.60 : x
  2. Step 2: Convert to fraction form
    594,405.95/820,280.12 = 339,762.60/x
  3. Step 3: Cross multiply
    594,405.95x = 820,280.12 × 339,762.60
  4. Step 4: Simplify right side
    594,405.95x = 278,700,504,600.70
  5. Step 5: Solve for x
    x = 278,700,504,600.70/594,405.95
  6. Step 6: Final answer
    x = 468,872.34

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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.