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Finding the Fourth Proportional to 749,185, 1,123,778.58 and 305,953

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Solution

The fourth proportional to 749,185, 1,123,778.58 and 305,953 is: 458,929.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,185 : 1,123,778.58 = 305,953 : x
  2. Step 2: Convert to fraction form
    749,185/1,123,778.58 = 305,953/x
  3. Step 3: Cross multiply
    749,185x = 1,123,778.58 × 305,953
  4. Step 4: Simplify right side
    749,185x = 343,823,427,886.74
  5. Step 5: Solve for x
    x = 343,823,427,886.74/749,185
  6. Step 6: Final answer
    x = 458,929.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.