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Finding the Fourth Proportional to 294,270.80, 441,406.20 and 97,278.80

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Solution

The fourth proportional to 294,270.80, 441,406.20 and 97,278.80 is: 145,918.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,270.80 : 441,406.20 = 97,278.80 : x
  2. Step 2: Convert to fraction form
    294,270.80/441,406.20 = 97,278.80/x
  3. Step 3: Cross multiply
    294,270.80x = 441,406.20 × 97,278.80
  4. Step 4: Simplify right side
    294,270.80x = 42,939,465,448.56
  5. Step 5: Solve for x
    x = 42,939,465,448.56/294,270.80
  6. Step 6: Final answer
    x = 145,918.20

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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.