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Finding the Fourth Proportional to 1,411,249.05, 1,947,690.63 and 838,291.50

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Solution

The fourth proportional to 1,411,249.05, 1,947,690.63 and 838,291.50 is: 1,156,941.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411,249.05 : 1,947,690.63 = 838,291.50 : x
  2. Step 2: Convert to fraction form
    1,411,249.05/1,947,690.63 = 838,291.50/x
  3. Step 3: Cross multiply
    1,411,249.05x = 1,947,690.63 × 838,291.50
  4. Step 4: Simplify right side
    1,411,249.05x = 1,632,732,499,758.65
  5. Step 5: Solve for x
    x = 1,632,732,499,758.65/1,411,249.05
  6. Step 6: Final answer
    x = 1,156,941.43

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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.