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Finding the Fourth Proportional to 532,785.25, 735,243.65 and 294,321.25

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Solution

The fourth proportional to 532,785.25, 735,243.65 and 294,321.25 is: 406,163.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,785.25 : 735,243.65 = 294,321.25 : x
  2. Step 2: Convert to fraction form
    532,785.25/735,243.65 = 294,321.25/x
  3. Step 3: Cross multiply
    532,785.25x = 735,243.65 × 294,321.25
  4. Step 4: Simplify right side
    532,785.25x = 216,397,828,650.96
  5. Step 5: Solve for x
    x = 216,397,828,650.96/532,785.25
  6. Step 6: Final answer
    x = 406,163.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.