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Finding the Fourth Proportional to 507,866.50, 700,855.77 and 281,546.50

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Solution

The fourth proportional to 507,866.50, 700,855.77 and 281,546.50 is: 388,534.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,866.50 : 700,855.77 = 281,546.50 : x
  2. Step 2: Convert to fraction form
    507,866.50/700,855.77 = 281,546.50/x
  3. Step 3: Cross multiply
    507,866.50x = 700,855.77 × 281,546.50
  4. Step 4: Simplify right side
    507,866.50x = 197,323,489,048.31
  5. Step 5: Solve for x
    x = 197,323,489,048.31/507,866.50
  6. Step 6: Final answer
    x = 388,534.17

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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.