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Finding the Fourth Proportional to 310,407.36, 427,953.60 and 202,790.40

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Solution

The fourth proportional to 310,407.36, 427,953.60 and 202,790.40 is: 279,583.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,407.36 : 427,953.60 = 202,790.40 : x
  2. Step 2: Convert to fraction form
    310,407.36/427,953.60 = 202,790.40/x
  3. Step 3: Cross multiply
    310,407.36x = 427,953.60 × 202,790.40
  4. Step 4: Simplify right side
    310,407.36x = 86,784,881,725.44
  5. Step 5: Solve for x
    x = 86,784,881,725.44/310,407.36
  6. Step 6: Final answer
    x = 279,583.84

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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.