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Finding the Fourth Proportional to 417,964.64, 576,586.69 and 248,078.48

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Solution

The fourth proportional to 417,964.64, 576,586.69 and 248,078.48 is: 342,226.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,964.64 : 576,586.69 = 248,078.48 : x
  2. Step 2: Convert to fraction form
    417,964.64/576,586.69 = 248,078.48/x
  3. Step 3: Cross multiply
    417,964.64x = 576,586.69 × 248,078.48
  4. Step 4: Simplify right side
    417,964.64x = 143,038,746,140.30
  5. Step 5: Solve for x
    x = 143,038,746,140.30/417,964.64
  6. Step 6: Final answer
    x = 342,226.91

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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.