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Finding the Fourth Proportional to 417,694.51, 576,418.95 and 226,707.95

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Solution

The fourth proportional to 417,694.51, 576,418.95 and 226,707.95 is: 312,857.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,694.51 : 576,418.95 = 226,707.95 : x
  2. Step 2: Convert to fraction form
    417,694.51/576,418.95 = 226,707.95/x
  3. Step 3: Cross multiply
    417,694.51x = 576,418.95 × 226,707.95
  4. Step 4: Simplify right side
    417,694.51x = 130,678,758,495.65
  5. Step 5: Solve for x
    x = 130,678,758,495.65/417,694.51
  6. Step 6: Final answer
    x = 312,857.26

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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.