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Finding the Fourth Proportional to 580,971.30, 869,840.66 and 296,047.59

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Solution

The fourth proportional to 580,971.30, 869,840.66 and 296,047.59 is: 443,247.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,971.30 : 869,840.66 = 296,047.59 : x
  2. Step 2: Convert to fraction form
    580,971.30/869,840.66 = 296,047.59/x
  3. Step 3: Cross multiply
    580,971.30x = 869,840.66 × 296,047.59
  4. Step 4: Simplify right side
    580,971.30x = 257,514,229,596.77
  5. Step 5: Solve for x
    x = 257,514,229,596.77/580,971.30
  6. Step 6: Final answer
    x = 443,247.76

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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.