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Finding the Fourth Proportional to 490,470.40, 735,532.80 and 174,937.60

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Solution

The fourth proportional to 490,470.40, 735,532.80 and 174,937.60 is: 262,344.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,470.40 : 735,532.80 = 174,937.60 : x
  2. Step 2: Convert to fraction form
    490,470.40/735,532.80 = 174,937.60/x
  3. Step 3: Cross multiply
    490,470.40x = 735,532.80 × 174,937.60
  4. Step 4: Simplify right side
    490,470.40x = 128,672,342,753.28
  5. Step 5: Solve for x
    x = 128,672,342,753.28/490,470.40
  6. Step 6: Final answer
    x = 262,344.77

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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.