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Finding the Fourth Proportional to 821,614.16, 1,133,832.84 and 459,050.96

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Solution

The fourth proportional to 821,614.16, 1,133,832.84 and 459,050.96 is: 633,493.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,614.16 : 1,133,832.84 = 459,050.96 : x
  2. Step 2: Convert to fraction form
    821,614.16/1,133,832.84 = 459,050.96/x
  3. Step 3: Cross multiply
    821,614.16x = 1,133,832.84 × 459,050.96
  4. Step 4: Simplify right side
    821,614.16x = 520,487,053,681.53
  5. Step 5: Solve for x
    x = 520,487,053,681.53/821,614.16
  6. Step 6: Final answer
    x = 633,493.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.