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Finding the Fourth Proportional to 310,654.88, 465,234.96 and 177,130.32

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Solution

The fourth proportional to 310,654.88, 465,234.96 and 177,130.32 is: 265,269.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,654.88 : 465,234.96 = 177,130.32 : x
  2. Step 2: Convert to fraction form
    310,654.88/465,234.96 = 177,130.32/x
  3. Step 3: Cross multiply
    310,654.88x = 465,234.96 × 177,130.32
  4. Step 4: Simplify right side
    310,654.88x = 82,407,217,339.99
  5. Step 5: Solve for x
    x = 82,407,217,339.99/310,654.88
  6. Step 6: Final answer
    x = 265,269.35

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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.