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Finding the Fourth Proportional to 384,201, 576,347.52 and 117,926.64

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Solution

The fourth proportional to 384,201, 576,347.52 and 117,926.64 is: 176,904.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,201 : 576,347.52 = 117,926.64 : x
  2. Step 2: Convert to fraction form
    384,201/576,347.52 = 117,926.64/x
  3. Step 3: Cross multiply
    384,201x = 576,347.52 × 117,926.64
  4. Step 4: Simplify right side
    384,201x = 67,966,726,505.93
  5. Step 5: Solve for x
    x = 67,966,726,505.93/384,201
  6. Step 6: Final answer
    x = 176,904.09

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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.