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Finding the Fourth Proportional to 667,903.32, 921,801.06 and 413,336.52

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Solution

The fourth proportional to 667,903.32, 921,801.06 and 413,336.52 is: 570,462.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,903.32 : 921,801.06 = 413,336.52 : x
  2. Step 2: Convert to fraction form
    667,903.32/921,801.06 = 413,336.52/x
  3. Step 3: Cross multiply
    667,903.32x = 921,801.06 × 413,336.52
  4. Step 4: Simplify right side
    667,903.32x = 381,014,042,272.71
  5. Step 5: Solve for x
    x = 381,014,042,272.71/667,903.32
  6. Step 6: Final answer
    x = 570,462.87

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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.