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Finding the Fourth Proportional to 384,595.54, 576,530.43 and 135,141.46

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Solution

The fourth proportional to 384,595.54, 576,530.43 and 135,141.46 is: 202,584.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,595.54 : 576,530.43 = 135,141.46 : x
  2. Step 2: Convert to fraction form
    384,595.54/576,530.43 = 135,141.46/x
  3. Step 3: Cross multiply
    384,595.54x = 576,530.43 × 135,141.46
  4. Step 4: Simplify right side
    384,595.54x = 77,913,164,044.63
  5. Step 5: Solve for x
    x = 77,913,164,044.63/384,595.54
  6. Step 6: Final answer
    x = 202,584.68

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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.