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Finding the Fourth Proportional to 514,969.60, 772,527.30 and 159,946.60

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Solution

The fourth proportional to 514,969.60, 772,527.30 and 159,946.60 is: 239,942.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,969.60 : 772,527.30 = 159,946.60 : x
  2. Step 2: Convert to fraction form
    514,969.60/772,527.30 = 159,946.60/x
  3. Step 3: Cross multiply
    514,969.60x = 772,527.30 × 159,946.60
  4. Step 4: Simplify right side
    514,969.60x = 123,563,115,042.18
  5. Step 5: Solve for x
    x = 123,563,115,042.18/514,969.60
  6. Step 6: Final answer
    x = 239,942.54

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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.