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Finding the Fourth Proportional to 499,532.94, 748,998.36 and 195,564.51

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Solution

The fourth proportional to 499,532.94, 748,998.36 and 195,564.51 is: 293,228.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,532.94 : 748,998.36 = 195,564.51 : x
  2. Step 2: Convert to fraction form
    499,532.94/748,998.36 = 195,564.51/x
  3. Step 3: Cross multiply
    499,532.94x = 748,998.36 × 195,564.51
  4. Step 4: Simplify right side
    499,532.94x = 146,477,497,264.20
  5. Step 5: Solve for x
    x = 146,477,497,264.20/499,532.94
  6. Step 6: Final answer
    x = 293,228.91

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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.