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Finding the Fourth Proportional to 294,133.30, 440,086.58 and 174,254.61

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Solution

The fourth proportional to 294,133.30, 440,086.58 and 174,254.61 is: 260,722.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,133.30 : 440,086.58 = 174,254.61 : x
  2. Step 2: Convert to fraction form
    294,133.30/440,086.58 = 174,254.61/x
  3. Step 3: Cross multiply
    294,133.30x = 440,086.58 × 174,254.61
  4. Step 4: Simplify right side
    294,133.30x = 76,687,115,364.13
  5. Step 5: Solve for x
    x = 76,687,115,364.13/294,133.30
  6. Step 6: Final answer
    x = 260,722.32

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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.