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Finding the Fourth Proportional to 340,238.26, 469,402.32 and 339,713.38

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Solution

The fourth proportional to 340,238.26, 469,402.32 and 339,713.38 is: 468,678.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,238.26 : 469,402.32 = 339,713.38 : x
  2. Step 2: Convert to fraction form
    340,238.26/469,402.32 = 339,713.38/x
  3. Step 3: Cross multiply
    340,238.26x = 469,402.32 × 339,713.38
  4. Step 4: Simplify right side
    340,238.26x = 159,462,248,707.04
  5. Step 5: Solve for x
    x = 159,462,248,707.04/340,238.26
  6. Step 6: Final answer
    x = 468,678.18

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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.