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Finding the Fourth Proportional to 473,697.46, 653,627.69 and 269,634.02

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Solution

The fourth proportional to 473,697.46, 653,627.69 and 269,634.02 is: 372,052.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,697.46 : 653,627.69 = 269,634.02 : x
  2. Step 2: Convert to fraction form
    473,697.46/653,627.69 = 269,634.02/x
  3. Step 3: Cross multiply
    473,697.46x = 653,627.69 × 269,634.02
  4. Step 4: Simplify right side
    473,697.46x = 176,240,261,638.01
  5. Step 5: Solve for x
    x = 176,240,261,638.01/473,697.46
  6. Step 6: Final answer
    x = 372,052.37

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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.