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Finding the Fourth Proportional to 490,470.24, 735,308.16 and 153,337.44

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Solution

The fourth proportional to 490,470.24, 735,308.16 and 153,337.44 is: 229,881.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,470.24 : 735,308.16 = 153,337.44 : x
  2. Step 2: Convert to fraction form
    490,470.24/735,308.16 = 153,337.44/x
  3. Step 3: Cross multiply
    490,470.24x = 735,308.16 × 153,337.44
  4. Step 4: Simplify right side
    490,470.24x = 112,750,270,865.51
  5. Step 5: Solve for x
    x = 112,750,270,865.51/490,470.24
  6. Step 6: Final answer
    x = 229,881.98

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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.