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Finding the Fourth Proportional to 475,369.97, 713,056.16 and 120,384.02

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Solution

The fourth proportional to 475,369.97, 713,056.16 and 120,384.02 is: 180,576.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,369.97 : 713,056.16 = 120,384.02 : x
  2. Step 2: Convert to fraction form
    475,369.97/713,056.16 = 120,384.02/x
  3. Step 3: Cross multiply
    475,369.97x = 713,056.16 × 120,384.02
  4. Step 4: Simplify right side
    475,369.97x = 85,840,569,110.16
  5. Step 5: Solve for x
    x = 85,840,569,110.16/475,369.97
  6. Step 6: Final answer
    x = 180,576.34

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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.