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Finding the Fourth Proportional to 602,573.31, 903,517.44 and 465,748.01

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Solution

The fourth proportional to 602,573.31, 903,517.44 and 465,748.01 is: 698,357.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,573.31 : 903,517.44 = 465,748.01 : x
  2. Step 2: Convert to fraction form
    602,573.31/903,517.44 = 465,748.01/x
  3. Step 3: Cross multiply
    602,573.31x = 903,517.44 × 465,748.01
  4. Step 4: Simplify right side
    602,573.31x = 420,811,451,886.63
  5. Step 5: Solve for x
    x = 420,811,451,886.63/602,573.31
  6. Step 6: Final answer
    x = 698,357.27

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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.