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Finding the Fourth Proportional to 471,204, 707,032.80 and 234,567.36

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Solution

The fourth proportional to 471,204, 707,032.80 and 234,567.36 is: 351,963.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,204 : 707,032.80 = 234,567.36 : x
  2. Step 2: Convert to fraction form
    471,204/707,032.80 = 234,567.36/x
  3. Step 3: Cross multiply
    471,204x = 707,032.80 × 234,567.36
  4. Step 4: Simplify right side
    471,204x = 165,846,817,329.41
  5. Step 5: Solve for x
    x = 165,846,817,329.41/471,204
  6. Step 6: Final answer
    x = 351,963.94

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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.