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Finding the Fourth Proportional to 310,233.96, 465,353.34 and 169,916.04

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Solution

The fourth proportional to 310,233.96, 465,353.34 and 169,916.04 is: 254,875.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,233.96 : 465,353.34 = 169,916.04 : x
  2. Step 2: Convert to fraction form
    310,233.96/465,353.34 = 169,916.04/x
  3. Step 3: Cross multiply
    310,233.96x = 465,353.34 × 169,916.04
  4. Step 4: Simplify right side
    310,233.96x = 79,070,996,733.57
  5. Step 5: Solve for x
    x = 79,070,996,733.57/310,233.96
  6. Step 6: Final answer
    x = 254,875.37

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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.