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Finding the Fourth Proportional to 491,324.94, 735,461.91 and 266,126.04

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Solution

The fourth proportional to 491,324.94, 735,461.91 and 266,126.04 is: 398,362.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,324.94 : 735,461.91 = 266,126.04 : x
  2. Step 2: Convert to fraction form
    491,324.94/735,461.91 = 266,126.04/x
  3. Step 3: Cross multiply
    491,324.94x = 735,461.91 × 266,126.04
  4. Step 4: Simplify right side
    491,324.94x = 195,725,565,679.14
  5. Step 5: Solve for x
    x = 195,725,565,679.14/491,324.94
  6. Step 6: Final answer
    x = 398,362.77

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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.