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Finding the Fourth Proportional to 310,513.20, 465,769.80 and 153,049.20

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Solution

The fourth proportional to 310,513.20, 465,769.80 and 153,049.20 is: 229,573.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,513.20 : 465,769.80 = 153,049.20 : x
  2. Step 2: Convert to fraction form
    310,513.20/465,769.80 = 153,049.20/x
  3. Step 3: Cross multiply
    310,513.20x = 465,769.80 × 153,049.20
  4. Step 4: Simplify right side
    310,513.20x = 71,285,695,274.16
  5. Step 5: Solve for x
    x = 71,285,695,274.16/310,513.20
  6. Step 6: Final answer
    x = 229,573.80

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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.