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Finding the Fourth Proportional to 312,034.40, 468,051.60 and 280,541.60

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Solution

The fourth proportional to 312,034.40, 468,051.60 and 280,541.60 is: 420,812.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,034.40 : 468,051.60 = 280,541.60 : x
  2. Step 2: Convert to fraction form
    312,034.40/468,051.60 = 280,541.60/x
  3. Step 3: Cross multiply
    312,034.40x = 468,051.60 × 280,541.60
  4. Step 4: Simplify right side
    312,034.40x = 131,307,944,746.56
  5. Step 5: Solve for x
    x = 131,307,944,746.56/312,034.40
  6. Step 6: Final answer
    x = 420,812.40

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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.