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Finding the Fourth Proportional to 594,415, 820,292.62 and 339,771.66

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Solution

The fourth proportional to 594,415, 820,292.62 and 339,771.66 is: 468,884.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,415 : 820,292.62 = 339,771.66 : x
  2. Step 2: Convert to fraction form
    594,415/820,292.62 = 339,771.66/x
  3. Step 3: Cross multiply
    594,415x = 820,292.62 × 339,771.66
  4. Step 4: Simplify right side
    594,415x = 278,712,185,183.15
  5. Step 5: Solve for x
    x = 278,712,185,183.15/594,415
  6. Step 6: Final answer
    x = 468,884.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.