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Finding the Fourth Proportional to 514,156.43, 709,451.38 and 323,034.50

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Solution

The fourth proportional to 514,156.43, 709,451.38 and 323,034.50 is: 445,734.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,156.43 : 709,451.38 = 323,034.50 : x
  2. Step 2: Convert to fraction form
    514,156.43/709,451.38 = 323,034.50/x
  3. Step 3: Cross multiply
    514,156.43x = 709,451.38 × 323,034.50
  4. Step 4: Simplify right side
    514,156.43x = 229,177,271,812.61
  5. Step 5: Solve for x
    x = 229,177,271,812.61/514,156.43
  6. Step 6: Final answer
    x = 445,734.52

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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.