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Finding the Fourth Proportional to 1,149,004.86, 1,723,895.49 and 509,221.10

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Solution

The fourth proportional to 1,149,004.86, 1,723,895.49 and 509,221.10 is: 764,003.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149,004.86 : 1,723,895.49 = 509,221.10 : x
  2. Step 2: Convert to fraction form
    1,149,004.86/1,723,895.49 = 509,221.10/x
  3. Step 3: Cross multiply
    1,149,004.86x = 1,723,895.49 × 509,221.10
  4. Step 4: Simplify right side
    1,149,004.86x = 877,843,957,702.84
  5. Step 5: Solve for x
    x = 877,843,957,702.84/1,149,004.86
  6. Step 6: Final answer
    x = 764,003.69

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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.