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Finding the Fourth Proportional to 309,263.13, 463,763.48 and 109,633.77

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Solution

The fourth proportional to 309,263.13, 463,763.48 and 109,633.77 is: 164,404.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,263.13 : 463,763.48 = 109,633.77 : x
  2. Step 2: Convert to fraction form
    309,263.13/463,763.48 = 109,633.77/x
  3. Step 3: Cross multiply
    309,263.13x = 463,763.48 × 109,633.77
  4. Step 4: Simplify right side
    309,263.13x = 50,844,138,152.55
  5. Step 5: Solve for x
    x = 50,844,138,152.55/309,263.13
  6. Step 6: Final answer
    x = 164,404.14

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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.