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Finding the Fourth Proportional to 315,769.20, 473,653.80 and 182,580.90

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Solution

The fourth proportional to 315,769.20, 473,653.80 and 182,580.90 is: 273,871.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,769.20 : 473,653.80 = 182,580.90 : x
  2. Step 2: Convert to fraction form
    315,769.20/473,653.80 = 182,580.90/x
  3. Step 3: Cross multiply
    315,769.20x = 473,653.80 × 182,580.90
  4. Step 4: Simplify right side
    315,769.20x = 86,480,137,092.42
  5. Step 5: Solve for x
    x = 86,480,137,092.42/315,769.20
  6. Step 6: Final answer
    x = 273,871.35

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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.