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Finding the Fourth Proportional to 475,901.63, 713,871.88 and 120,924.80

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Solution

The fourth proportional to 475,901.63, 713,871.88 and 120,924.80 is: 181,392.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,901.63 : 713,871.88 = 120,924.80 : x
  2. Step 2: Convert to fraction form
    475,901.63/713,871.88 = 120,924.80/x
  3. Step 3: Cross multiply
    475,901.63x = 713,871.88 × 120,924.80
  4. Step 4: Simplify right side
    475,901.63x = 86,324,814,314.62
  5. Step 5: Solve for x
    x = 86,324,814,314.62/475,901.63
  6. Step 6: Final answer
    x = 181,392.14

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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.