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Finding the Fourth Proportional to 686,105.42, 947,287.53 and 428,374.76

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Solution

The fourth proportional to 686,105.42, 947,287.53 and 428,374.76 is: 591,445.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,105.42 : 947,287.53 = 428,374.76 : x
  2. Step 2: Convert to fraction form
    686,105.42/947,287.53 = 428,374.76/x
  3. Step 3: Cross multiply
    686,105.42x = 947,287.53 × 428,374.76
  4. Step 4: Simplify right side
    686,105.42x = 405,794,068,314.74
  5. Step 5: Solve for x
    x = 405,794,068,314.74/686,105.42
  6. Step 6: Final answer
    x = 591,445.65

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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.