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Finding the Fourth Proportional to 462,173.75, 637,736.29 and 258,199.35

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Solution

The fourth proportional to 462,173.75, 637,736.29 and 258,199.35 is: 356,279.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,173.75 : 637,736.29 = 258,199.35 : x
  2. Step 2: Convert to fraction form
    462,173.75/637,736.29 = 258,199.35/x
  3. Step 3: Cross multiply
    462,173.75x = 637,736.29 × 258,199.35
  4. Step 4: Simplify right side
    462,173.75x = 164,663,092,512.40
  5. Step 5: Solve for x
    x = 164,663,092,512.40/462,173.75
  6. Step 6: Final answer
    x = 356,279.63

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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.