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Finding the Fourth Proportional to 941,006.32, 1,410,716 and 408,126

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Solution

The fourth proportional to 941,006.32, 1,410,716 and 408,126 is: 611,844.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    941,006.32 : 1,410,716 = 408,126 : x
  2. Step 2: Convert to fraction form
    941,006.32/1,410,716 = 408,126/x
  3. Step 3: Cross multiply
    941,006.32x = 1,410,716 × 408,126
  4. Step 4: Simplify right side
    941,006.32x = 575,749,878,216
  5. Step 5: Solve for x
    x = 575,749,878,216/941,006.32
  6. Step 6: Final answer
    x = 611,844.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.