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Finding the Fourth Proportional to 527,732.90, 728,003.32 and 333,813.88

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Solution

The fourth proportional to 527,732.90, 728,003.32 and 333,813.88 is: 460,493.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,732.90 : 728,003.32 = 333,813.88 : x
  2. Step 2: Convert to fraction form
    527,732.90/728,003.32 = 333,813.88/x
  3. Step 3: Cross multiply
    527,732.90x = 728,003.32 × 333,813.88
  4. Step 4: Simplify right side
    527,732.90x = 243,017,615,963.91
  5. Step 5: Solve for x
    x = 243,017,615,963.91/527,732.90
  6. Step 6: Final answer
    x = 460,493.59

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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.