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Finding the Fourth Proportional to 473,267.82, 653,800.50 and 409,494.90

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Solution

The fourth proportional to 473,267.82, 653,800.50 and 409,494.90 is: 565,700.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,267.82 : 653,800.50 = 409,494.90 : x
  2. Step 2: Convert to fraction form
    473,267.82/653,800.50 = 409,494.90/x
  3. Step 3: Cross multiply
    473,267.82x = 653,800.50 × 409,494.90
  4. Step 4: Simplify right side
    473,267.82x = 267,727,970,367.45
  5. Step 5: Solve for x
    x = 267,727,970,367.45/473,267.82
  6. Step 6: Final answer
    x = 565,700.77

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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.