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Finding the Fourth Proportional to 490,077.41, 735,218.15 and 153,104.45

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Solution

The fourth proportional to 490,077.41, 735,218.15 and 153,104.45 is: 229,688.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,077.41 : 735,218.15 = 153,104.45 : x
  2. Step 2: Convert to fraction form
    490,077.41/735,218.15 = 153,104.45/x
  3. Step 3: Cross multiply
    490,077.41x = 735,218.15 × 153,104.45
  4. Step 4: Simplify right side
    490,077.41x = 112,565,166,044.16
  5. Step 5: Solve for x
    x = 112,565,166,044.16/490,077.41
  6. Step 6: Final answer
    x = 229,688.54

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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.