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Finding the Fourth Proportional to 535,020.48, 802,464.96 and 310,503

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Solution

The fourth proportional to 535,020.48, 802,464.96 and 310,503 is: 465,716.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,020.48 : 802,464.96 = 310,503 : x
  2. Step 2: Convert to fraction form
    535,020.48/802,464.96 = 310,503/x
  3. Step 3: Cross multiply
    535,020.48x = 802,464.96 × 310,503
  4. Step 4: Simplify right side
    535,020.48x = 249,167,777,474.88
  5. Step 5: Solve for x
    x = 249,167,777,474.88/535,020.48
  6. Step 6: Final answer
    x = 465,716.34

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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.