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Finding the Fourth Proportional to 610,909.24, 916,669.24 and 274,190.64

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Solution

The fourth proportional to 610,909.24, 916,669.24 and 274,190.64 is: 411,423.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,909.24 : 916,669.24 = 274,190.64 : x
  2. Step 2: Convert to fraction form
    610,909.24/916,669.24 = 274,190.64/x
  3. Step 3: Cross multiply
    610,909.24x = 916,669.24 × 274,190.64
  4. Step 4: Simplify right side
    610,909.24x = 251,342,125,583.91
  5. Step 5: Solve for x
    x = 251,342,125,583.91/610,909.24
  6. Step 6: Final answer
    x = 411,423.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.