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Finding the Fourth Proportional to 654,852, 982,278.23 and 294,602.03

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Solution

The fourth proportional to 654,852, 982,278.23 and 294,602.03 is: 441,903.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,852 : 982,278.23 = 294,602.03 : x
  2. Step 2: Convert to fraction form
    654,852/982,278.23 = 294,602.03/x
  3. Step 3: Cross multiply
    654,852x = 982,278.23 × 294,602.03
  4. Step 4: Simplify right side
    654,852x = 289,381,154,198.41
  5. Step 5: Solve for x
    x = 289,381,154,198.41/654,852
  6. Step 6: Final answer
    x = 441,903.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.