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Finding the Fourth Proportional to 458,376.48, 632,429.76 and 297,238.08

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Solution

The fourth proportional to 458,376.48, 632,429.76 and 297,238.08 is: 410,104.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,376.48 : 632,429.76 = 297,238.08 : x
  2. Step 2: Convert to fraction form
    458,376.48/632,429.76 = 297,238.08/x
  3. Step 3: Cross multiply
    458,376.48x = 632,429.76 × 297,238.08
  4. Step 4: Simplify right side
    458,376.48x = 187,982,207,597.26
  5. Step 5: Solve for x
    x = 187,982,207,597.26/458,376.48
  6. Step 6: Final answer
    x = 410,104.39

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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.