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Finding the Fourth Proportional to 294,014.90, 440,634.81 and 116,425.02

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Solution

The fourth proportional to 294,014.90, 440,634.81 and 116,425.02 is: 174,484.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,014.90 : 440,634.81 = 116,425.02 : x
  2. Step 2: Convert to fraction form
    294,014.90/440,634.81 = 116,425.02/x
  3. Step 3: Cross multiply
    294,014.90x = 440,634.81 × 116,425.02
  4. Step 4: Simplify right side
    294,014.90x = 51,300,916,566.95
  5. Step 5: Solve for x
    x = 51,300,916,566.95/294,014.90
  6. Step 6: Final answer
    x = 174,484.07

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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.