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Finding the Fourth Proportional to 467,732.16, 645,686.28 and 274,113.12

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Solution

The fourth proportional to 467,732.16, 645,686.28 and 274,113.12 is: 378,402.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,732.16 : 645,686.28 = 274,113.12 : x
  2. Step 2: Convert to fraction form
    467,732.16/645,686.28 = 274,113.12/x
  3. Step 3: Cross multiply
    467,732.16x = 645,686.28 × 274,113.12
  4. Step 4: Simplify right side
    467,732.16x = 176,991,080,751.99
  5. Step 5: Solve for x
    x = 176,991,080,751.99/467,732.16
  6. Step 6: Final answer
    x = 378,402.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.