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Finding the Fourth Proportional to 342,874.80, 514,895.40 and 254,228.40

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Solution

The fourth proportional to 342,874.80, 514,895.40 and 254,228.40 is: 381,775.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,874.80 : 514,895.40 = 254,228.40 : x
  2. Step 2: Convert to fraction form
    342,874.80/514,895.40 = 254,228.40/x
  3. Step 3: Cross multiply
    342,874.80x = 514,895.40 × 254,228.40
  4. Step 4: Simplify right side
    342,874.80x = 130,901,033,709.36
  5. Step 5: Solve for x
    x = 130,901,033,709.36/342,874.80
  6. Step 6: Final answer
    x = 381,775.02

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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.