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Finding the Fourth Proportional to 580,801.38, 869,336.43 and 310,253.07

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Solution

The fourth proportional to 580,801.38, 869,336.43 and 310,253.07 is: 464,383.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,801.38 : 869,336.43 = 310,253.07 : x
  2. Step 2: Convert to fraction form
    580,801.38/869,336.43 = 310,253.07/x
  3. Step 3: Cross multiply
    580,801.38x = 869,336.43 × 310,253.07
  4. Step 4: Simplify right side
    580,801.38x = 269,714,296,270.34
  5. Step 5: Solve for x
    x = 269,714,296,270.34/580,801.38
  6. Step 6: Final answer
    x = 464,383.02

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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.