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Finding the Fourth Proportional to 386,099.60, 578,688.60 and 161,459.60

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Solution

The fourth proportional to 386,099.60, 578,688.60 and 161,459.60 is: 241,996.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,099.60 : 578,688.60 = 161,459.60 : x
  2. Step 2: Convert to fraction form
    386,099.60/578,688.60 = 161,459.60/x
  3. Step 3: Cross multiply
    386,099.60x = 578,688.60 × 161,459.60
  4. Step 4: Simplify right side
    386,099.60x = 93,434,829,880.56
  5. Step 5: Solve for x
    x = 93,434,829,880.56/386,099.60
  6. Step 6: Final answer
    x = 241,996.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.