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Finding the Fourth Proportional to 522,034.20, 783,051.30 and 312,082.20

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Solution

The fourth proportional to 522,034.20, 783,051.30 and 312,082.20 is: 468,123.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,034.20 : 783,051.30 = 312,082.20 : x
  2. Step 2: Convert to fraction form
    522,034.20/783,051.30 = 312,082.20/x
  3. Step 3: Cross multiply
    522,034.20x = 783,051.30 × 312,082.20
  4. Step 4: Simplify right side
    522,034.20x = 244,376,372,416.86
  5. Step 5: Solve for x
    x = 244,376,372,416.86/522,034.20
  6. Step 6: Final answer
    x = 468,123.30

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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.