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Finding the Fourth Proportional to 310,034.30, 465,051.78 and 123,045.80

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Solution

The fourth proportional to 310,034.30, 465,051.78 and 123,045.80 is: 184,568.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,034.30 : 465,051.78 = 123,045.80 : x
  2. Step 2: Convert to fraction form
    310,034.30/465,051.78 = 123,045.80/x
  3. Step 3: Cross multiply
    310,034.30x = 465,051.78 × 123,045.80
  4. Step 4: Simplify right side
    310,034.30x = 57,222,668,311.52
  5. Step 5: Solve for x
    x = 57,222,668,311.52/310,034.30
  6. Step 6: Final answer
    x = 184,568.83

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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.