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Finding the Fourth Proportional to 312,034.20, 468,051.30 and 233,302.20

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Solution

The fourth proportional to 312,034.20, 468,051.30 and 233,302.20 is: 349,953.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,034.20 : 468,051.30 = 233,302.20 : x
  2. Step 2: Convert to fraction form
    312,034.20/468,051.30 = 233,302.20/x
  3. Step 3: Cross multiply
    312,034.20x = 468,051.30 × 233,302.20
  4. Step 4: Simplify right side
    312,034.20x = 109,197,398,002.86
  5. Step 5: Solve for x
    x = 109,197,398,002.86/312,034.20
  6. Step 6: Final answer
    x = 349,953.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.