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Finding the Fourth Proportional to 458,908.74, 633,073.32 and 297,814.32

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Solution

The fourth proportional to 458,908.74, 633,073.32 and 297,814.32 is: 410,840.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,908.74 : 633,073.32 = 297,814.32 : x
  2. Step 2: Convert to fraction form
    458,908.74/633,073.32 = 297,814.32/x
  3. Step 3: Cross multiply
    458,908.74x = 633,073.32 × 297,814.32
  4. Step 4: Simplify right side
    458,908.74x = 188,538,300,305.94
  5. Step 5: Solve for x
    x = 188,538,300,305.94/458,908.74
  6. Step 6: Final answer
    x = 410,840.51

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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.