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Finding the Fourth Proportional to 473,322.40, 653,188.47 and 269,388.85

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Solution

The fourth proportional to 473,322.40, 653,188.47 and 269,388.85 is: 371,758.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,322.40 : 653,188.47 = 269,388.85 : x
  2. Step 2: Convert to fraction form
    473,322.40/653,188.47 = 269,388.85/x
  3. Step 3: Cross multiply
    473,322.40x = 653,188.47 × 269,388.85
  4. Step 4: Simplify right side
    473,322.40x = 175,961,690,766.56
  5. Step 5: Solve for x
    x = 175,961,690,766.56/473,322.40
  6. Step 6: Final answer
    x = 371,758.64

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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.