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Finding the Fourth Proportional to 820,125.93, 1,131,774.49 and 457,549.86

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Solution

The fourth proportional to 820,125.93, 1,131,774.49 and 457,549.86 is: 631,419.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,125.93 : 1,131,774.49 = 457,549.86 : x
  2. Step 2: Convert to fraction form
    820,125.93/1,131,774.49 = 457,549.86/x
  3. Step 3: Cross multiply
    820,125.93x = 1,131,774.49 × 457,549.86
  4. Step 4: Simplify right side
    820,125.93x = 517,843,259,451.07
  5. Step 5: Solve for x
    x = 517,843,259,451.07/820,125.93
  6. Step 6: Final answer
    x = 631,419.20

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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.