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Finding the Fourth Proportional to 643,905.96, 965,465.28 and 307,049.64

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Solution

The fourth proportional to 643,905.96, 965,465.28 and 307,049.64 is: 460,386.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,905.96 : 965,465.28 = 307,049.64 : x
  2. Step 2: Convert to fraction form
    643,905.96/965,465.28 = 307,049.64/x
  3. Step 3: Cross multiply
    643,905.96x = 965,465.28 × 307,049.64
  4. Step 4: Simplify right side
    643,905.96x = 296,445,766,656.50
  5. Step 5: Solve for x
    x = 296,445,766,656.50/643,905.96
  6. Step 6: Final answer
    x = 460,386.74

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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.