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Finding the Fourth Proportional to 515,980.92, 773,530.24 and 195,953.64

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Solution

The fourth proportional to 515,980.92, 773,530.24 and 195,953.64 is: 293,762.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,980.92 : 773,530.24 = 195,953.64 : x
  2. Step 2: Convert to fraction form
    515,980.92/773,530.24 = 195,953.64/x
  3. Step 3: Cross multiply
    515,980.92x = 773,530.24 × 195,953.64
  4. Step 4: Simplify right side
    515,980.92x = 151,576,066,178.07
  5. Step 5: Solve for x
    x = 151,576,066,178.07/515,980.92
  6. Step 6: Final answer
    x = 293,762.93

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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.