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Finding the Fourth Proportional to 473,265.28, 653,797 and 409,492.40

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Solution

The fourth proportional to 473,265.28, 653,797 and 409,492.40 is: 565,697.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,265.28 : 653,797 = 409,492.40 : x
  2. Step 2: Convert to fraction form
    473,265.28/653,797 = 409,492.40/x
  3. Step 3: Cross multiply
    473,265.28x = 653,797 × 409,492.40
  4. Step 4: Simplify right side
    473,265.28x = 267,724,902,642.80
  5. Step 5: Solve for x
    x = 267,724,902,642.80/473,265.28
  6. Step 6: Final answer
    x = 565,697.32

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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.