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Finding the Fourth Proportional to 288,704.10, 430,830.42 and 253,719.12

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Solution

The fourth proportional to 288,704.10, 430,830.42 and 253,719.12 is: 378,622.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,704.10 : 430,830.42 = 253,719.12 : x
  2. Step 2: Convert to fraction form
    288,704.10/430,830.42 = 253,719.12/x
  3. Step 3: Cross multiply
    288,704.10x = 430,830.42 × 253,719.12
  4. Step 4: Simplify right side
    288,704.10x = 109,309,915,031.63
  5. Step 5: Solve for x
    x = 109,309,915,031.63/288,704.10
  6. Step 6: Final answer
    x = 378,622.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.