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Finding the Fourth Proportional to 536,007.80, 804,626.10 and 314,516.60

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Solution

The fourth proportional to 536,007.80, 804,626.10 and 314,516.60 is: 472,135.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,007.80 : 804,626.10 = 314,516.60 : x
  2. Step 2: Convert to fraction form
    536,007.80/804,626.10 = 314,516.60/x
  3. Step 3: Cross multiply
    536,007.80x = 804,626.10 × 314,516.60
  4. Step 4: Simplify right side
    536,007.80x = 253,068,265,243.26
  5. Step 5: Solve for x
    x = 253,068,265,243.26/536,007.80
  6. Step 6: Final answer
    x = 472,135.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.