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Finding the Fourth Proportional to 580,002.56, 869,722.57 and 340,194.82

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Solution

The fourth proportional to 580,002.56, 869,722.57 and 340,194.82 is: 510,127.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,002.56 : 869,722.57 = 340,194.82 : x
  2. Step 2: Convert to fraction form
    580,002.56/869,722.57 = 340,194.82/x
  3. Step 3: Cross multiply
    580,002.56x = 869,722.57 × 340,194.82
  4. Step 4: Simplify right side
    580,002.56x = 295,875,114,474.91
  5. Step 5: Solve for x
    x = 295,875,114,474.91/580,002.56
  6. Step 6: Final answer
    x = 510,127.26

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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.