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Finding the Fourth Proportional to 301,303.48, 415,755.82 and 180,416.44

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Solution

The fourth proportional to 301,303.48, 415,755.82 and 180,416.44 is: 248,948.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,303.48 : 415,755.82 = 180,416.44 : x
  2. Step 2: Convert to fraction form
    301,303.48/415,755.82 = 180,416.44/x
  3. Step 3: Cross multiply
    301,303.48x = 415,755.82 × 180,416.44
  4. Step 4: Simplify right side
    301,303.48x = 75,009,184,953.68
  5. Step 5: Solve for x
    x = 75,009,184,953.68/301,303.48
  6. Step 6: Final answer
    x = 248,948.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.