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Finding the Fourth Proportional to 380,844.51, 571,192.64 and 144,205.71

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Solution

The fourth proportional to 380,844.51, 571,192.64 and 144,205.71 is: 216,280.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,844.51 : 571,192.64 = 144,205.71 : x
  2. Step 2: Convert to fraction form
    380,844.51/571,192.64 = 144,205.71/x
  3. Step 3: Cross multiply
    380,844.51x = 571,192.64 × 144,205.71
  4. Step 4: Simplify right side
    380,844.51x = 82,369,240,197.97
  5. Step 5: Solve for x
    x = 82,369,240,197.97/380,844.51
  6. Step 6: Final answer
    x = 216,280.50

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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.