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Finding the Fourth Proportional to 507,735.82, 760,802.64 and 187,446.88

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Solution

The fourth proportional to 507,735.82, 760,802.64 and 187,446.88 is: 280,874.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,735.82 : 760,802.64 = 187,446.88 : x
  2. Step 2: Convert to fraction form
    507,735.82/760,802.64 = 187,446.88/x
  3. Step 3: Cross multiply
    507,735.82x = 760,802.64 × 187,446.88
  4. Step 4: Simplify right side
    507,735.82x = 142,610,081,163.76
  5. Step 5: Solve for x
    x = 142,610,081,163.76/507,735.82
  6. Step 6: Final answer
    x = 280,874.57

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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.