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Finding the Fourth Proportional to 500,915.68, 691,334.56 and 309,990.72

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Solution

The fourth proportional to 500,915.68, 691,334.56 and 309,990.72 is: 427,831.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,915.68 : 691,334.56 = 309,990.72 : x
  2. Step 2: Convert to fraction form
    500,915.68/691,334.56 = 309,990.72/x
  3. Step 3: Cross multiply
    500,915.68x = 691,334.56 × 309,990.72
  4. Step 4: Simplify right side
    500,915.68x = 214,307,298,015.28
  5. Step 5: Solve for x
    x = 214,307,298,015.28/500,915.68
  6. Step 6: Final answer
    x = 427,831.08

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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.