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Finding the Fourth Proportional to 283,056.46, 390,617.90 and 155,729.32

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Solution

The fourth proportional to 283,056.46, 390,617.90 and 155,729.32 is: 214,906.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,056.46 : 390,617.90 = 155,729.32 : x
  2. Step 2: Convert to fraction form
    283,056.46/390,617.90 = 155,729.32/x
  3. Step 3: Cross multiply
    283,056.46x = 390,617.90 × 155,729.32
  4. Step 4: Simplify right side
    283,056.46x = 60,830,659,946.83
  5. Step 5: Solve for x
    x = 60,830,659,946.83/283,056.46
  6. Step 6: Final answer
    x = 214,906.45

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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.