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Finding the Fourth Proportional to 506,180.09, 698,704.43 and 291,405.75

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Solution

The fourth proportional to 506,180.09, 698,704.43 and 291,405.75 is: 402,241.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,180.09 : 698,704.43 = 291,405.75 : x
  2. Step 2: Convert to fraction form
    506,180.09/698,704.43 = 291,405.75/x
  3. Step 3: Cross multiply
    506,180.09x = 698,704.43 × 291,405.75
  4. Step 4: Simplify right side
    506,180.09x = 203,606,489,944.67
  5. Step 5: Solve for x
    x = 203,606,489,944.67/506,180.09
  6. Step 6: Final answer
    x = 402,241.21

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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.