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Finding the Fourth Proportional to 507,550.50, 700,442.64 and 281,196

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Solution

The fourth proportional to 507,550.50, 700,442.64 and 281,196 is: 388,063.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,550.50 : 700,442.64 = 281,196 : x
  2. Step 2: Convert to fraction form
    507,550.50/700,442.64 = 281,196/x
  3. Step 3: Cross multiply
    507,550.50x = 700,442.64 × 281,196
  4. Step 4: Simplify right side
    507,550.50x = 196,961,668,597.44
  5. Step 5: Solve for x
    x = 196,961,668,597.44/507,550.50
  6. Step 6: Final answer
    x = 388,063.19

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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.