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Finding the Fourth Proportional to 413,978.29, 571,337.65 and 230,235.51

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Solution

The fourth proportional to 413,978.29, 571,337.65 and 230,235.51 is: 317,751.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,978.29 : 571,337.65 = 230,235.51 : x
  2. Step 2: Convert to fraction form
    413,978.29/571,337.65 = 230,235.51/x
  3. Step 3: Cross multiply
    413,978.29x = 571,337.65 × 230,235.51
  4. Step 4: Simplify right side
    413,978.29x = 131,542,217,660.26
  5. Step 5: Solve for x
    x = 131,542,217,660.26/413,978.29
  6. Step 6: Final answer
    x = 317,751.49

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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.