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Finding the Fourth Proportional to 414,283.87, 571,626.01 and 242,168.57

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Solution

The fourth proportional to 414,283.87, 571,626.01 and 242,168.57 is: 334,142.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,283.87 : 571,626.01 = 242,168.57 : x
  2. Step 2: Convert to fraction form
    414,283.87/571,626.01 = 242,168.57/x
  3. Step 3: Cross multiply
    414,283.87x = 571,626.01 × 242,168.57
  4. Step 4: Simplify right side
    414,283.87x = 138,429,850,558.38
  5. Step 5: Solve for x
    x = 138,429,850,558.38/414,283.87
  6. Step 6: Final answer
    x = 334,142.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.