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Finding the Fourth Proportional to 684,936, 1,027,407.24 and 241,704

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Solution

The fourth proportional to 684,936, 1,027,407.24 and 241,704 is: 362,557.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,936 : 1,027,407.24 = 241,704 : x
  2. Step 2: Convert to fraction form
    684,936/1,027,407.24 = 241,704/x
  3. Step 3: Cross multiply
    684,936x = 1,027,407.24 × 241,704
  4. Step 4: Simplify right side
    684,936x = 248,328,439,536.96
  5. Step 5: Solve for x
    x = 248,328,439,536.96/684,936
  6. Step 6: Final answer
    x = 362,557.14

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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.