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Finding the Fourth Proportional to 514,536.05, 709,705.41 and 361,898.03

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Solution

The fourth proportional to 514,536.05, 709,705.41 and 361,898.03 is: 499,170.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,536.05 : 709,705.41 = 361,898.03 : x
  2. Step 2: Convert to fraction form
    514,536.05/709,705.41 = 361,898.03/x
  3. Step 3: Cross multiply
    514,536.05x = 709,705.41 × 361,898.03
  4. Step 4: Simplify right side
    514,536.05x = 256,840,989,759.34
  5. Step 5: Solve for x
    x = 256,840,989,759.34/514,536.05
  6. Step 6: Final answer
    x = 499,170.06

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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.