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Finding the Fourth Proportional to 490,514.40, 735,382.80 and 268,898.40

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Solution

The fourth proportional to 490,514.40, 735,382.80 and 268,898.40 is: 403,134.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,514.40 : 735,382.80 = 268,898.40 : x
  2. Step 2: Convert to fraction form
    490,514.40/735,382.80 = 268,898.40/x
  3. Step 3: Cross multiply
    490,514.40x = 735,382.80 × 268,898.40
  4. Step 4: Simplify right side
    490,514.40x = 197,743,258,307.52
  5. Step 5: Solve for x
    x = 197,743,258,307.52/490,514.40
  6. Step 6: Final answer
    x = 403,134.46

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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.