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Finding the Fourth Proportional to 407,825.40, 611,738.10 and 376,332.60

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Solution

The fourth proportional to 407,825.40, 611,738.10 and 376,332.60 is: 564,498.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,825.40 : 611,738.10 = 376,332.60 : x
  2. Step 2: Convert to fraction form
    407,825.40/611,738.10 = 376,332.60/x
  3. Step 3: Cross multiply
    407,825.40x = 611,738.10 × 376,332.60
  4. Step 4: Simplify right side
    407,825.40x = 230,216,989,692.06
  5. Step 5: Solve for x
    x = 230,216,989,692.06/407,825.40
  6. Step 6: Final answer
    x = 564,498.90

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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.