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Finding the Fourth Proportional to 1,583,827.35, 2,375,939.87 and 774,237.95

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Solution

The fourth proportional to 1,583,827.35, 2,375,939.87 and 774,237.95 is: 1,161,454.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583,827.35 : 2,375,939.87 = 774,237.95 : x
  2. Step 2: Convert to fraction form
    1,583,827.35/2,375,939.87 = 774,237.95/x
  3. Step 3: Cross multiply
    1,583,827.35x = 2,375,939.87 × 774,237.95
  4. Step 4: Simplify right side
    1,583,827.35x = 1,839,542,814,272.07
  5. Step 5: Solve for x
    x = 1,839,542,814,272.07/1,583,827.35
  6. Step 6: Final answer
    x = 1,161,454.13

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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.