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Finding the Fourth Proportional to 312,298, 468,459.96 and 90,682

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Solution

The fourth proportional to 312,298, 468,459.96 and 90,682 is: 136,026.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,298 : 468,459.96 = 90,682 : x
  2. Step 2: Convert to fraction form
    312,298/468,459.96 = 90,682/x
  3. Step 3: Cross multiply
    312,298x = 468,459.96 × 90,682
  4. Step 4: Simplify right side
    312,298x = 42,480,886,092.72
  5. Step 5: Solve for x
    x = 42,480,886,092.72/312,298
  6. Step 6: Final answer
    x = 136,026.76

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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.