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Finding the Fourth Proportional to 473,647.72, 653,633.46 and 269,688.28

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Solution

The fourth proportional to 473,647.72, 653,633.46 and 269,688.28 is: 372,169.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,647.72 : 653,633.46 = 269,688.28 : x
  2. Step 2: Convert to fraction form
    473,647.72/653,633.46 = 269,688.28/x
  3. Step 3: Cross multiply
    473,647.72x = 653,633.46 × 269,688.28
  4. Step 4: Simplify right side
    473,647.72x = 176,277,283,577.85
  5. Step 5: Solve for x
    x = 176,277,283,577.85/473,647.72
  6. Step 6: Final answer
    x = 372,169.60

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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.