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Finding the Fourth Proportional to 294,470.40, 441,446.40 and 176,188.80

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Solution

The fourth proportional to 294,470.40, 441,446.40 and 176,188.80 is: 264,128.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,470.40 : 441,446.40 = 176,188.80 : x
  2. Step 2: Convert to fraction form
    294,470.40/441,446.40 = 176,188.80/x
  3. Step 3: Cross multiply
    294,470.40x = 441,446.40 × 176,188.80
  4. Step 4: Simplify right side
    294,470.40x = 77,777,911,480.32
  5. Step 5: Solve for x
    x = 77,777,911,480.32/294,470.40
  6. Step 6: Final answer
    x = 264,128.11

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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.