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Finding the Fourth Proportional to 460,092, 634,704.36 and 296,705.34

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Solution

The fourth proportional to 460,092, 634,704.36 and 296,705.34 is: 409,309.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,092 : 634,704.36 = 296,705.34 : x
  2. Step 2: Convert to fraction form
    460,092/634,704.36 = 296,705.34/x
  3. Step 3: Cross multiply
    460,092x = 634,704.36 × 296,705.34
  4. Step 4: Simplify right side
    460,092x = 188,320,172,933.28
  5. Step 5: Solve for x
    x = 188,320,172,933.28/460,092
  6. Step 6: Final answer
    x = 409,309.82

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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.