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Finding the Fourth Proportional to 473,410.58, 653,310.78 and 269,474.63

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Solution

The fourth proportional to 473,410.58, 653,310.78 and 269,474.63 is: 371,877.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,410.58 : 653,310.78 = 269,474.63 : x
  2. Step 2: Convert to fraction form
    473,410.58/653,310.78 = 269,474.63/x
  3. Step 3: Cross multiply
    473,410.58x = 653,310.78 × 269,474.63
  4. Step 4: Simplify right side
    473,410.58x = 176,050,676,438.43
  5. Step 5: Solve for x
    x = 176,050,676,438.43/473,410.58
  6. Step 6: Final answer
    x = 371,877.36

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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.