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Finding the Fourth Proportional to 417,059.10, 575,542.53 and 226,071.63

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Solution

The fourth proportional to 417,059.10, 575,542.53 and 226,071.63 is: 311,979.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,059.10 : 575,542.53 = 226,071.63 : x
  2. Step 2: Convert to fraction form
    417,059.10/575,542.53 = 226,071.63/x
  3. Step 3: Cross multiply
    417,059.10x = 575,542.53 × 226,071.63
  4. Step 4: Simplify right side
    417,059.10x = 130,113,837,891.42
  5. Step 5: Solve for x
    x = 130,113,837,891.42/417,059.10
  6. Step 6: Final answer
    x = 311,979.38

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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.