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Finding the Fourth Proportional to 313,458.80, 432,581.72 and 184,406.36

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Solution

The fourth proportional to 313,458.80, 432,581.72 and 184,406.36 is: 254,485.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,458.80 : 432,581.72 = 184,406.36 : x
  2. Step 2: Convert to fraction form
    313,458.80/432,581.72 = 184,406.36/x
  3. Step 3: Cross multiply
    313,458.80x = 432,581.72 × 184,406.36
  4. Step 4: Simplify right side
    313,458.80x = 79,770,817,302.80
  5. Step 5: Solve for x
    x = 79,770,817,302.80/313,458.80
  6. Step 6: Final answer
    x = 254,485.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.