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Finding the Fourth Proportional to 473,267.32, 653,799.82 and 409,494.40

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Solution

The fourth proportional to 473,267.32, 653,799.82 and 409,494.40 is: 565,700.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,267.32 : 653,799.82 = 409,494.40 : x
  2. Step 2: Convert to fraction form
    473,267.32/653,799.82 = 409,494.40/x
  3. Step 3: Cross multiply
    473,267.32x = 653,799.82 × 409,494.40
  4. Step 4: Simplify right side
    473,267.32x = 267,727,365,011.01
  5. Step 5: Solve for x
    x = 267,727,365,011.01/473,267.32
  6. Step 6: Final answer
    x = 565,700.09

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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.