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Finding the Fourth Proportional to 603,564.72, 832,606.98 and 409,982.40

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Solution

The fourth proportional to 603,564.72, 832,606.98 and 409,982.40 is: 565,563.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,564.72 : 832,606.98 = 409,982.40 : x
  2. Step 2: Convert to fraction form
    603,564.72/832,606.98 = 409,982.40/x
  3. Step 3: Cross multiply
    603,564.72x = 832,606.98 × 409,982.40
  4. Step 4: Simplify right side
    603,564.72x = 341,354,207,917.15
  5. Step 5: Solve for x
    x = 341,354,207,917.15/603,564.72
  6. Step 6: Final answer
    x = 565,563.55

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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.