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Finding the Fourth Proportional to 301,224.98, 415,647.33 and 180,337.34

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Solution

The fourth proportional to 301,224.98, 415,647.33 and 180,337.34 is: 248,839.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,224.98 : 415,647.33 = 180,337.34 : x
  2. Step 2: Convert to fraction form
    301,224.98/415,647.33 = 180,337.34/x
  3. Step 3: Cross multiply
    301,224.98x = 415,647.33 × 180,337.34
  4. Step 4: Simplify right side
    301,224.98x = 74,956,733,870.30
  5. Step 5: Solve for x
    x = 74,956,733,870.30/301,224.98
  6. Step 6: Final answer
    x = 248,839.70

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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.