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Finding the Fourth Proportional to 473,221.76, 653,020.44 and 269,266.64

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Solution

The fourth proportional to 473,221.76, 653,020.44 and 269,266.64 is: 371,573.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,221.76 : 653,020.44 = 269,266.64 : x
  2. Step 2: Convert to fraction form
    473,221.76/653,020.44 = 269,266.64/x
  3. Step 3: Cross multiply
    473,221.76x = 653,020.44 × 269,266.64
  4. Step 4: Simplify right side
    473,221.76x = 175,836,619,730.12
  5. Step 5: Solve for x
    x = 175,836,619,730.12/473,221.76
  6. Step 6: Final answer
    x = 371,573.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.