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Finding the Fourth Proportional to 277,240.70, 415,861.05 and 201,461.15

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Solution

The fourth proportional to 277,240.70, 415,861.05 and 201,461.15 is: 302,191.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,240.70 : 415,861.05 = 201,461.15 : x
  2. Step 2: Convert to fraction form
    277,240.70/415,861.05 = 201,461.15/x
  3. Step 3: Cross multiply
    277,240.70x = 415,861.05 × 201,461.15
  4. Step 4: Simplify right side
    277,240.70x = 83,779,845,373.21
  5. Step 5: Solve for x
    x = 83,779,845,373.21/277,240.70
  6. Step 6: Final answer
    x = 302,191.73

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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.