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Finding the Fourth Proportional to 409,798.64, 565,501.58 and 226,069.46

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Solution

The fourth proportional to 409,798.64, 565,501.58 and 226,069.46 is: 311,964.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,798.64 : 565,501.58 = 226,069.46 : x
  2. Step 2: Convert to fraction form
    409,798.64/565,501.58 = 226,069.46/x
  3. Step 3: Cross multiply
    409,798.64x = 565,501.58 × 226,069.46
  4. Step 4: Simplify right side
    409,798.64x = 127,842,633,709.65
  5. Step 5: Solve for x
    x = 127,842,633,709.65/409,798.64
  6. Step 6: Final answer
    x = 311,964.52

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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.