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Finding the Fourth Proportional to 407,002.34, 610,622.87 and 182,312.79

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Solution

The fourth proportional to 407,002.34, 610,622.87 and 182,312.79 is: 273,522.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,002.34 : 610,622.87 = 182,312.79 : x
  2. Step 2: Convert to fraction form
    407,002.34/610,622.87 = 182,312.79/x
  3. Step 3: Cross multiply
    407,002.34x = 610,622.87 × 182,312.79
  4. Step 4: Simplify right side
    407,002.34x = 111,324,358,155.94
  5. Step 5: Solve for x
    x = 111,324,358,155.94/407,002.34
  6. Step 6: Final answer
    x = 273,522.65

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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.