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Finding the Fourth Proportional to 603,588.72, 832,640.10 and 410,006.40

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Solution

The fourth proportional to 603,588.72, 832,640.10 and 410,006.40 is: 565,596.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,588.72 : 832,640.10 = 410,006.40 : x
  2. Step 2: Convert to fraction form
    603,588.72/832,640.10 = 410,006.40/x
  3. Step 3: Cross multiply
    603,588.72x = 832,640.10 × 410,006.40
  4. Step 4: Simplify right side
    603,588.72x = 341,387,769,896.64
  5. Step 5: Solve for x
    x = 341,387,769,896.64/603,588.72
  6. Step 6: Final answer
    x = 565,596.67

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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.