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Finding the Fourth Proportional to 310,523.94, 465,453.66 and 160,613.28

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Solution

The fourth proportional to 310,523.94, 465,453.66 and 160,613.28 is: 240,748.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,523.94 : 465,453.66 = 160,613.28 : x
  2. Step 2: Convert to fraction form
    310,523.94/465,453.66 = 160,613.28/x
  3. Step 3: Cross multiply
    310,523.94x = 465,453.66 × 160,613.28
  4. Step 4: Simplify right side
    310,523.94x = 74,758,039,020.60
  5. Step 5: Solve for x
    x = 74,758,039,020.60/310,523.94
  6. Step 6: Final answer
    x = 240,748.07

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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.