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Finding the Fourth Proportional to 388,106, 581,843.64 and 174,717.20

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Solution

The fourth proportional to 388,106, 581,843.64 and 174,717.20 is: 261,933.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,106 : 581,843.64 = 174,717.20 : x
  2. Step 2: Convert to fraction form
    388,106/581,843.64 = 174,717.20/x
  3. Step 3: Cross multiply
    388,106x = 581,843.64 × 174,717.20
  4. Step 4: Simplify right side
    388,106x = 101,658,091,618.61
  5. Step 5: Solve for x
    x = 101,658,091,618.61/388,106
  6. Step 6: Final answer
    x = 261,933.83

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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.